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 A035079 Weigh transform of A007561. 4
 1, 1, 1, 2, 4, 10, 26, 71, 197, 564, 1639, 4833, 14406, 43374, 131652, 402525, 1238419, 3831520, 11912913, 37204431, 116655147, 367100319, 1159026041, 3670339794, 11655070593, 37104257405, 118398974620, 378627600346, 1213247498254, 3894924465243 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..600 N. J. A. Sloane, Transforms FORMULA a(n) ~ c * d^n / n^(3/2), where d = 3.382016466020272807429818743... (same as for A035080), c = 0.2780120087122189647675707... . - Vaclav Kotesovec, Sep 12 2014 MAPLE g:= proc(n, i) option remember; `if`(n=0, 1, `if`(i<1, 0,       add(binomial(b((i-1)\$2), j)*g(n-i*j, i-1), j=0..n/i)))     end: b:= proc(n, i) option remember; `if`(n=0, 1, `if`(i<1, 0,       add(binomial(g(i\$2), j)*b(n-i*j, i-1), j=0..n/i)))     end: a:= n-> g(n, n): seq(a(n), n=0..40); # Alois P. Heinz, May 20 2013 MATHEMATICA g[n_, i_] := g[n, i] = If[n==0, 1, If[i<1, 0, Sum[Binomial[b[i-1, i-1], j]* g[n-i*j, i-1], {j, 0, n/i}]]]; b[n_, i_] := b[n, i] = If[n==0, 1, If[i<1, 0, Sum[Binomial[g[i, i], j]*b[n- i*j, i-1], {j, 0, n/i}]]]; a[n_] := g[n, n]; Table[a[n], {n, 0, 40}] (* Jean-François Alcover, Feb 22 2017, after Alois P. Heinz *) CROSSREFS Cf. A035080, A035081. Sequence in context: A097085 A071962 A257520 * A259206 A106221 A149811 Adjacent sequences:  A035076 A035077 A035078 * A035080 A035081 A035082 KEYWORD nonn AUTHOR Christian G. Bower, Nov 15 1998 STATUS approved

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Last modified December 7 09:33 EST 2019. Contains 329843 sequences. (Running on oeis4.)