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 A294989 Number of compositions (ordered partitions) of 1 into exactly 10n+1 powers of 1/(n+1). 2
 1, 68958747, 27212315953140892, 39880061006390454401626995, 110656003660578876500875377620844376, 423205992807070499591372608204571223421862945, 1944053748730350081768848916806347783770184147756976500 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..101 FORMULA a(n) ~ 10^(10*n + 3/2) / (2*Pi*n)^(9/2). - Vaclav Kotesovec, Sep 20 2019 MAPLE b:= proc(n, r, p, k) option remember;       `if`(n (k-> `if`(n=0, 1, b(k*n+1, 1, 0, n+1)))(10): seq(a(n), n=0..10); MATHEMATICA b[n_, r_, p_, k_] := b[n, r, p, k] = If[n < r, 0, If[r == 0, If[n == 0, p!, 0], Sum[b[n - j, k*(r - j), p + j, k]/j!, {j, 0, Min[n, r]}]]]; a[n_] := If[n == 0, 1, b[#*n + 1, 1, 0, n + 1]]&[10]; Table[a[n], {n, 0, 10}] (* Jean-François Alcover, May 21 2018, translated from Maple *) CROSSREFS Row n=10 of A294746. Sequence in context: A251615 A321706 A172608 * A204405 A186618 A186597 Adjacent sequences:  A294986 A294987 A294988 * A294990 A294991 A294992 KEYWORD nonn AUTHOR Alois P. Heinz, Nov 12 2017 STATUS approved

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Last modified January 26 19:45 EST 2021. Contains 340442 sequences. (Running on oeis4.)