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A152731
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a(n)+a(n+1)+a(n+2)=n^6.
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2
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0, 0, 1, 63, 665, 3368, 11592, 31696, 74361, 156087, 300993, 542920, 927648, 1515416, 2383745, 3630375, 5376505, 7770336, 10990728, 15251160, 20803993, 27944847, 37017281, 48417776, 62600832, 80084368, 101455425, 127375983
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OFFSET
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1,4
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COMMENTS
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0+0+1=1^6;0+1+63=2^6;...
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LINKS
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Table of n, a(n) for n=1..28.
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FORMULA
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a(n)= -26n/3+20n^3/3-5n^2+7/3-2n^5+n^6/3+5n^4/3-7*A131713(n)/3. G.f.: x^3(1+x)(x^4+56x^3+246x^2+56x+1)/((1-x)^7*(1+x+x^2)). [From R. J. Mathar, Dec 12 2008]
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MATHEMATICA
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k0=k1=0; lst={k0, k1}; Do[kt=k1; k1=n^6-k1-k0; k0=kt; AppendTo[lst, k1], {n, 1, 5!}]; lst
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CROSSREFS
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Cf. A152728, A152729, A152730, A152725, A152726, A000212
Sequence in context: A184448 A181125 A022522 * A090028 A152725 A086578
Adjacent sequences: A152728 A152729 A152730 * A152732 A152733 A152734
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KEYWORD
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nonn
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AUTHOR
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Vladimir Joseph Stephan Orlovsky, Dec 11 2008
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STATUS
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approved
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