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A106496 Binomial transform of a fractal structured sequence. 1
1, 3, 6, 13, 29, 62, 128, 263, 547, 1148, 2403, 4977, 10196, 20764, 42295, 86505, 177686, 365590, 750900, 1535849, 3126095, 6338569, 12829491, 25978046, 52704328, 107181724, 218353623, 445043039, 906192468, 1841334795, 3731810786, 7544870464, 15227791771, 30712441728, 61962616118, 125147454289, 253133152914 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Robert Israel, Table of n, a(n) for n = 1..1000

FORMULA

Binomial transform of A004736 which is (1, 2, 1, 3, 2, 1, 4, 3, 2, 1, ...)

EXAMPLE

a(5) = 29 = 1*1 + 4*2 + 6*1 + 4*3 + 1*2.

MAPLE

A004736:= [seq(seq(n-k+1, k=1..n), n=1..20)]:

[seq(add(binomial(n, k)*A004736[k+1], k=0..n), n=0..nops(A004736)-1)]; # Robert Israel, Feb 04 2018

CROSSREFS

Cf. A004736.

Sequence in context: A106461 A095768 A002478 * A052933 A071014 A214260

Adjacent sequences:  A106493 A106494 A106495 * A106497 A106498 A106499

KEYWORD

nonn

AUTHOR

Gary W. Adamson, May 03 2005

EXTENSIONS

a(14) corrected and more terms from Robert Israel, Feb 04 2018

STATUS

approved

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Last modified March 18 22:11 EDT 2019. Contains 321305 sequences. (Running on oeis4.)