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A196508
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2^n*(n^2-n+4)-4.
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1
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0, 4, 20, 76, 252, 764, 2172, 5884, 15356, 38908, 96252, 233468, 557052, 1310716, 3047420, 7012348, 15990780, 36175868, 81264636, 181403644, 402653180, 889192444, 1954545660, 4278190076, 9328132092, 20266876924, 43889197052
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OFFSET
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0,2
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REFERENCES
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Jolley, Summation of Series, Dover (1961), eq. (46) on page 8.
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..3000
Index to sequences with linear recurrences with constant coefficients, signature (7,-18,20,-8)
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FORMULA
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a(n) = 2*2 +4*4 + 7*8+ 11*16+ 16*32 + .. (n terms of A000124*A000079).
a(n) = 4*A053545(n).
G.f. 4*x*(1-2*x+2*x^2) / ( (x-1)*(2*x-1)^3 ).
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PROG
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(MAGMA) [2^n*(n^2-n+4)-4: n in [0..30]]; // Vincenzo Librandi, Oct 05 2011
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CROSSREFS
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Sequence in context: A061981 A054611 A196432 * A121257 A145563 A125669
Adjacent sequences: A196505 A196506 A196507 * A196509 A196510 A196511
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KEYWORD
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nonn,easy
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AUTHOR
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R. J. Mathar, Oct 03 2011
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STATUS
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approved
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