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Search: id:A135092
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A135092 Binomial transform of [1, 6, 1, 6, 1, 6,...]. +0
1
1, 7, 14, 28, 56, 112, 224, 448, 896, 1792, 3584, 7168, 14336, 28672, 57344, 114688, 229376, 458752, 917504, 1835008, 3670016, 7340032, 14680064, 29360128, 58720256, 117440512, 234881024, 469762048, 939524096, 1879048192, 3758096384, 7516192768, 15032385536 (list; graph; listen)
OFFSET

0,2

FORMULA

a(0) = 1, then a(n), n>0 = 7*2^(n-1).

a(n) = Sum_{k, 0<=k<=n}A097805(n,k)*7^k*(-5)^(n-k) . - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 19 2007

EXAMPLE

a(3) = (1, 3, 3, 1) dot (1, 6, 1, 6) = (1 + 18 + 3 + 6).

a(3) = 28 = 7*2^2

CROSSREFS

Essentially identical to A005009.

Sequence in context: A033895 A115876 A005009 this_sequence A058530 A134384 A084382

Adjacent sequences: A135089 A135090 A135091 this_sequence A135093 A135094 A135095

KEYWORD

nonn

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Nov 18 2007

EXTENSIONS

Corrected and extended by Philippe DELEHAM and njas, Dec 15 2007

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Last modified July 24 12:00 EDT 2008. Contains 142294 sequences.


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