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A307604 G.f. A(x) satisfies: A(x) = (1/(1 - x)) * A(x^2)^2*A(x^3)^3*A(x^4)^4* ... *A(x^k)^k* ... 5
1, 1, 3, 6, 17, 28, 72, 122, 282, 493, 1027, 1790, 3673, 6300, 12205, 21117, 39782, 67989, 124937, 212189, 381705, 644625, 1136315, 1905352, 3312916, 5513005, 9443362, 15624026, 26445046, 43451200, 72751824, 118792691, 196966722, 319714816, 525316191, 847734183, 1381904765 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Euler transform of A050369.

LINKS

Table of n, a(n) for n=0..36.

FORMULA

G.f.: Product_{k>=1} 1/(1 - x^k)^(k*A074206(k)).

EXAMPLE

G.f.: A(x) = 1 + x + 3*x^2 + 6*x^3 + 17*x^4 + 28*x^5 + 72*x^6 + 122*x^7 + 282*x^8 + 493*x^9 + ...

MATHEMATICA

terms = 36; A[_] = 1; Do[A[x_] = 1/(1 - x) Product[A[x^k]^k, {k, 2, terms}] + O[x]^(terms + 1) // Normal, terms + 1]; CoefficientList[A[x], x]

CROSSREFS

Cf. A050369, A074206, A129374, A307605, A307606, A307607.

Sequence in context: A024315 A235088 A327068 * A049943 A231184 A291227

Adjacent sequences:  A307601 A307602 A307603 * A307605 A307606 A307607

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Apr 18 2019

STATUS

approved

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Last modified April 6 12:48 EDT 2020. Contains 333276 sequences. (Running on oeis4.)