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Search: id:A140063
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A140063 Binomial transform of [1, 3, 7, 0, 0, 0,...]. +0
1
1, 4, 14, 31, 55, 86, 124, 169, 221, 280, 346, 419, 499, 586, 680, 781, 889, 1004, 1126, 1255, 1391, 1534, 1684, 1841, 2005, 2176, 2354, 2539, 2731, 2930, 3136, 3349, 3569, 3796, 4030, 4271, 4519, 4774, 5036 (list; graph; listen)
OFFSET

1,2

FORMULA

A007318 * [1, 3, 7, 0, 0, 0,...].

O.g.f.: x*(1+x+5x^2)/(1-x)^3. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 06 2008

EXAMPLE

a(4) = 31 = (1, 3, 3, 1) dot (1, 3, 7, 0) = (1 + 9 + 21 + 0).

CROSSREFS

Sequence in context: A049451 A079776 A117109 this_sequence A051409 A072475 A001740

Adjacent sequences: A140060 A140061 A140062 this_sequence A140064 A140065 A140066

KEYWORD

nonn

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), May 03 2008

EXTENSIONS

More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 06 2008

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Last modified December 3 14:12 EST 2008. Contains 151279 sequences.


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