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Search: id:A051673
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| A051673 |
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Cubic star numbers: a(n)=n^3+4*sum(i^2,i=0..n-1). |
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+0
5
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| 0, 1, 12, 47, 120, 245, 436, 707, 1072, 1545, 2140, 2871, 3752, 4797, 6020, 7435, 9056, 10897, 12972, 15295, 17880, 20741, 23892, 27347, 31120, 35225, 39676, 44487, 49672, 55245, 61220, 67611, 74432, 81697, 89420, 97615, 106296, 115477, 125172
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Also as a(n)=(1/6)*(14*n^3-12*n^2+4*n), n>0: structured cubeoctahedral numbers (vertex structure 7); and structured pentagonal anti-diamond numbers (vertex structure 7) (Cf. A004466 = alternate vertex) (Cf. A100188 = structured anti-diamonds). Cf. A100145 for more on structured polyhedral numbers. - James A. Record (james.record(AT)gmail.com), Nov. 7, 2004.
Contribution from Gary W. Adamson (qntmpkt(AT)yahoo.com), Aug 05 2009: (Start)
Starting with offset 1 = binomial transform of [1, 11, 24, 14, 0, 0, 0,...]
(End)
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REFERENCES
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T. A. Gulliver, Sequences from Arrays of Integers, Int. Math. Journal, Vol. 1, No. 4, pp. 323-332, 2002.
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FORMULA
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a(n)=n*(n*(7*n-6)+2)/3
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CROSSREFS
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A051662, A005915.
Sequence in context: A159013 A022281 A024183 this_sequence A030623 A030624 A002612
Adjacent sequences: A051670 A051671 A051672 this_sequence A051674 A051675 A051676
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KEYWORD
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easy,nice,nonn
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AUTHOR
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Klaus Strassburger (strass(AT)ddfi.uni-duesseldorf.de)
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EXTENSIONS
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Corrected by T. D. Noe (noe(AT)sspectra.com), Nov 01 2006
Corrected by T. D. Noe (noe(AT)sspectra.com), Nov 08 2006
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