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A363545
G.f. satisfies A(x) = exp( Sum_{k>=1} A(x^k) * x^k/(k * (1 - 2*x^k)) ).
6
1, 1, 4, 14, 54, 206, 823, 3312, 13619, 56643, 238569, 1014443, 4352038, 18809992, 81843021, 358186642, 1575810191, 6965004499, 30914431131, 137736012285, 615785575785, 2761693248028, 12421390811559, 56016050571825, 253228531426237
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OFFSET
0,3
LINKS
Seiichi Manyama,
Table of n, a(n) for n = 0..1000
FORMULA
A(x) = (1 - 2*x) * B(x) where B(x) is the g.f. of
A362389
.
a(n) =
A362389
(n) - 2*
A362389
(n-1) for n > 0.
PROG
(PARI) seq(n) = my(A=1); for(i=1, n, A=exp(sum(k=1, i, subst(A, x, x^k)*x^k/(k*(1-2*x^k)))+x*O(x^n))); Vec(A);
CROSSREFS
Cf.
A052855
,
A198518
,
A363546
,
A363580
,
A363581
.
Cf.
A362389
.
Sequence in context:
A145211
A060898
A180142
*
A302171
A366735
A307733
Adjacent sequences:
A363542
A363543
A363544
*
A363546
A363547
A363548
KEYWORD
nonn
AUTHOR
Seiichi Manyama
, Jun 09 2023
STATUS
approved