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Search: id:A081342
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A081342 (8^n+2^n)/2. +0
6
1, 5, 34, 260, 2056, 16400, 131104, 1048640, 8388736, 67109120, 536871424, 4294968320, 34359740416, 274877911040, 2199023263744, 17592186060800, 140737488388096, 1125899906908160, 9007199254872064, 72057594038190080 (list; graph; listen)
OFFSET

0,2

COMMENT

Binomial transform of A034494. 5th binomial transform of (1,0,9,0,81,0,729,0,..).

FORMULA

a(n)=(8^n+2^n)/2. a(n)=10a(n-1)-16a(n-2), a(0)=1, a(1)=5. G.f.: (1-5x)/((1-2x)(1-8x)). E.g.f. exp(5x)cosh(3x).

CROSSREFS

Cf. A025551, A081343.

Sequence in context: A078284 A083987 A002776 this_sequence A058248 A116435 A090367

Adjacent sequences: A081339 A081340 A081341 this_sequence A081343 A081344 A081345

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Mar 18 2003

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Last modified August 29 14:50 EDT 2008. Contains 143238 sequences.


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