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A308031 G.f. A(x) satisfies: A(x) = x + x^2 + x^3 + x^4 * (1 + A(A(x))). 2
1, 1, 1, 1, 1, 2, 4, 8, 16, 34, 78, 195, 523, 1472, 4284, 12832, 39608, 126406, 418276, 1436230, 5110170, 18785417, 71109917, 276404921, 1101234823, 4493335194, 18773200580, 80320474041, 351906635253, 1578344960050, 7241981076424, 33961826526634, 162615016927284 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,6

COMMENTS

Shifts left 4 places under COMPOSE transform.

LINKS

Table of n, a(n) for n=1..33.

MATHEMATICA

terms = 33; A[_] = 0; Do[A[x_] = x + x^2 + x^3 + x^4 (1 + A[A[x]]) + O[x]^(terms + 1) // Normal, terms + 1]; Rest[CoefficientList[A[x], x]]

CROSSREFS

Cf. A030266, A030277, A308030, A308032.

Sequence in context: A248890 A308245 A209971 * A166354 A336009 A180207

Adjacent sequences:  A308028 A308029 A308030 * A308032 A308033 A308034

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, May 10 2019

STATUS

approved

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Last modified August 3 21:46 EDT 2021. Contains 346441 sequences. (Running on oeis4.)