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A302287 G.f. A(x) satisfies: A(x) = Product_{k>=1} (1 + x^k*A(x))^k. 1
1, 1, 3, 10, 31, 102, 342, 1167, 4046, 14213, 50464, 180847, 653296, 2376406, 8697194, 32002219, 118322499, 439364380, 1637827543, 6126870808, 22993190147, 86542625565, 326607659370, 1235650643059, 4685502714403, 17804713119018, 67790202024365, 258579199501709, 988012193672223 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..28.

EXAMPLE

G.f. A(x) = 1 + x + 3*x^2 + 10*x^3 + 31*x^4 + 102*x^5 + 342*x^6 + 1167*x^7 + 4046*x^8 + 14213*x^9 + 50464*x^10 + ...

G.f. A(x) satisfies: A(x) = (1 + x*A(x)) * (1 + x^2*A(x))^2 * (1 + x^3*A(x))^3 * (1 + x^4*A(x))^4 * ...

CROSSREFS

Cf. A026007, A145267, A298260, A301456, A302171.

Sequence in context: A017934 A005510 A005725 * A079522 A325579 A034016

Adjacent sequences:  A302284 A302285 A302286 * A302288 A302289 A302290

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Apr 04 2018

STATUS

approved

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Last modified May 28 04:00 EDT 2020. Contains 334671 sequences. (Running on oeis4.)