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A132402 Binomial transform of A004524 starting at 1. 0
1, 3, 7, 15, 32, 70, 156, 348, 768, 1672, 3600, 7696, 16384, 34784, 73664, 155584, 327680, 688256, 1442048, 3014912, 6291456, 13106688, 27261952, 56622080, 117440512, 243271680, 503320576, 1040191488, 2147483648 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Twisted numbers. b(n)=a(n)-2^n=0, 1, 3, 7, 16, 38, 92, 220, 512, 1160, 2576, twisted numbers. b(n+1)-2b(n)=1, 1, 1, 2, 6, 16, 36, 72, 136, 256.

LINKS

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

FORMULA

a(n+1)-2a(n) = 1, 1, 1, 2, 6, 16, 36, 72, 136, 256 = essentially A038503.

O.g.f.: (1-x)^3/[(1-2x+2x^2)(-1+2x)^2]. a(n)=6*a(n-1)-14*a(n-2)+16*a(n-3)-8*a(n-4). - R. J. Mathar, Apr 02 2008

CROSSREFS

Sequence in context: A026745 A139333 A099444 * A137166 A101890 A307573

Adjacent sequences:  A132399 A132400 A132401 * A132403 A132404 A132405

KEYWORD

nonn

AUTHOR

Paul Curtz, Nov 12 2007

EXTENSIONS

More terms from R. J. Mathar, Apr 02 2008

STATUS

approved

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Last modified May 26 15:29 EDT 2019. Contains 323597 sequences. (Running on oeis4.)