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 A246243 Sum of eighth powers of coefficients in full expansion of (z_1+z_2+...+z_n)^n. 2
 1, 1, 258, 1718985, 115245958660, 46377854607812505, 80785609177262537107236, 486005483266096999009285275991, 8558639841332633529404511878004186120, 388791577542234912413815089860741309780872785, 41231194444310047390596429351583294775856761836687780 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..80 FORMULA a(n) = [x^n] (n!)^8 * (Sum_{j=0..n} x^j/(j!)^8)^n. MAPLE b:= proc(n, i) option remember; `if`(n=0, 1, `if`(i<1, 0, add(b(n-j, i-1)*binomial(n, j)^7/j!, j=0..n))) end: a:= n-> n!*b(n\$2): seq(a(n), n=0..15); CROSSREFS Column k=8 of A245397. Sequence in context: A097734 A121915 A239655 * A066129 A101521 A207060 Adjacent sequences: A246240 A246241 A246242 * A246244 A246245 A246246 KEYWORD nonn AUTHOR Alois P. Heinz, Aug 19 2014 STATUS approved

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Last modified August 7 07:35 EDT 2024. Contains 375008 sequences. (Running on oeis4.)