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Search: id:A053524
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A053524 (6^n-(-2)^n)/8. +0
4
0, 1, 4, 28, 160, 976, 5824, 35008, 209920, 1259776, 7558144, 45349888, 272097280, 1632587776, 9795518464, 58773127168, 352638730240, 2115832446976, 12694994550784, 76169967566848, 457019804876800, 2742118830309376, 16452712979759104 (list; graph; listen)
OFFSET

0,3

REFERENCES

R. P. Stanley, Enumerative Combinatorics, Cambridge, Vol. 2, 1999; see Problem 5.1(b).

A. H. Beiler, Recreations in the Theory of Numbers, Dover, NY, 1964, pp. 194-196.

FORMULA

E.g.f.: (e^{6x}-e^{-2x))/8.

a(n) = 2^n/8(3^n-(-1)^n). a(n)=4a(n-1)+12a(n-2); a(0)=0, a(1)=1.

CROSSREFS

Cf. A015518.

Sequence in context: A123520 A012847 A128721 this_sequence A125687 A026298 A129587

Adjacent sequences: A053521 A053522 A053523 this_sequence A053525 A053526 A053527

KEYWORD

nonn,easy

AUTHOR

njas, Barry E. Williams, Jan 15 2000

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.


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