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 A246242 Sum of seventh powers of coefficients in full expansion of (z_1+z_2+...+z_n)^n. 2
 1, 1, 130, 293061, 5018329348, 414999981562505, 124389170238814179336, 110807909819808911886548575, 253626563859350391170222920686088, 1334380576777390115212093953972864348177, 14777734823564325121187478504310896072495827020 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..90 FORMULA a(n) = [x^n] (n!)^7 * (Sum_{j=0..n} x^j/(j!)^7)^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)^6/j!, j=0..n))) end: a:= n-> n!*b(n\$2): seq(a(n), n=0..15); CROSSREFS Column k=7 of A245397. Sequence in context: A223662 A224112 A184283 * A001331 A291620 A356374 Adjacent sequences: A246239 A246240 A246241 * A246243 A246244 A246245 KEYWORD nonn AUTHOR Alois P. Heinz, Aug 19 2014 STATUS approved

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Last modified August 6 22:15 EDT 2024. Contains 374998 sequences. (Running on oeis4.)