Note that none of those square brackets do anything, so you might as well get rid of them. Why did you add them?
By the way, here is the very simple MATLAB approach without loops:
format longG
X = 0:0.01:1;
I = (0:25).';
F = (X.^I)./factorial(I);
Y = cumsum(F,1)
Y = 26×101
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1.01 1.02 1.03 1.04 1.05 1.06 1.07 1.08 1.09 1.1 1.11 1.12 1.13 1.14 1.15 1.16 1.17 1.18 1.19 1.2 1.21 1.22 1.23 1.24 1.25 1.26 1.27 1.28 1.29
1 1.01005 1.0202 1.03045 1.0408 1.05125 1.0618 1.07245 1.0832 1.09405 1.105 1.11605 1.1272 1.13845 1.1498 1.16125 1.1728 1.18445 1.1962 1.20805 1.22 1.23205 1.2442 1.25645 1.2688 1.28125 1.2938 1.30645 1.3192 1.33205
1 1.01005016666667 1.02020133333333 1.0304545 1.04081066666667 1.05127083333333 1.061836 1.07250716666667 1.08328533333333 1.0941715 1.10516666666667 1.11627183333333 1.127488 1.13881616666667 1.15025733333333 1.1618125 1.17348266666667 1.18526883333333 1.197172 1.20919316666667 1.22133333333333 1.2335935 1.24597466666667 1.25847783333333 1.271104 1.28385416666667 1.29672933333333 1.3097305 1.32285866666667 1.33611483333333
1 1.01005016708333 1.02020134 1.03045453375 1.04081077333333 1.05127109375 1.06183654 1.07250816708333 1.08328704 1.09417423375 1.10517083333333 1.11627793375 1.12749664 1.13882806708333 1.15027334 1.16183359375 1.17350997333333 1.18530363375 1.19721574 1.20924746708333 1.2214 1.23367453375 1.24607227333333 1.25859443375 1.27124224 1.28401692708333 1.29691974 1.30995193375 1.32311477333333 1.33640953375
1 1.01005016708417 1.02020134002667 1.0304545339525 1.04081077418667 1.05127109635417 1.06183654648 1.07250818108917 1.08328706730667 1.0941742829575 1.10517091666667 1.11627806795917 1.12749684736 1.13882837649417 1.15027378818667 1.1618342265625 1.17351084714667 1.18530481696417 1.19721731464 1.20924953049917 1.22140266666667 1.2336779371675 1.24607656802667 1.25859979736917 1.27124887552 1.28402506510417 1.29692964114667 1.3099638911725 1.32312911530667 1.33642662637417
1 1.01005016708417 1.02020134002676 1.03045453395351 1.04081077419236 1.05127109637587 1.0618365465448 1.07250818125257 1.08328706767076 1.09417428369561 1.10517091805556 1.11627807041967 1.1274968515072 1.13882838319807 1.15027379864436 1.16183424238281 1.17351087044836 1.18530485048857 1.1972173618792 1.20924959584067 1.22140275555556 1.23367805628711 1.24607672549876 1.25860000297457 1.2712491409408 1.28402540418837 1.29693007019636 1.30996442925651 1.32312978459876 1.33642745251767
1 1.01005016708417 1.02020134002676 1.03045453395352 1.04081077419239 1.05127109637602 1.06183654654536 1.0725081812542 1.08328706767492 1.0941742837051 1.1051709180754 1.11627807045833 1.1274968515783 1.13882838332257 1.15027379885351 1.16183424272182 1.17351087098097 1.18530485130273 1.19721736309392 1.20924959761422 1.22140275809524 1.2336780598607 1.24607673044788 1.25860000973017 1.27124915004094 1.28402541629852 1.29693008613249 1.30996445001118 1.32312981137044 1.33642748674361
1 1.01005016708417 1.02020134002676 1.03045453395352 1.04081077419239 1.05127109637602 1.06183654654536 1.07250818125422 1.08328706767496 1.09417428370521 1.10517091807564 1.11627807045886 1.12749685157936 1.13882838332459 1.15027379885717 1.16183424272818 1.17351087099162 1.18530485132003 1.19721736312125 1.20924959765634 1.22140275815873 1.23367805995451 1.24607673058398 1.2586000099244 1.27124915031395 1.28402541667696 1.29693008665041 1.30996445071165 1.32312981230745 1.3364274879843
1 1.01005016708417 1.02020134002676 1.03045453395352 1.04081077419239 1.05127109637602 1.06183654654536 1.07250818125422 1.08328706767496 1.09417428370521 1.10517091807565 1.11627807045887 1.12749685157938 1.13882838332462 1.15027379885723 1.16183424272828 1.17351087099181 1.18530485132036 1.1972173631218 1.20924959765723 1.22140275816014 1.2336780599567 1.24607673058731 1.25860000992936 1.27124915032123 1.28402541668747 1.29693008666537 1.30996445073267 1.3231298123366 1.33642748802428