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Search: id:A008514
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| A008514 |
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4-dimensional centered cube numbers. |
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+0
3
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| 1, 17, 97, 337, 881, 1921, 3697, 6497, 10657, 16561, 24641, 35377, 49297, 66977, 89041, 116161, 149057, 188497, 235297, 290321, 354481, 428737, 514097, 611617, 722401, 847601, 988417, 1146097
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Summation of n^4 taken two at a time. [From Al Hakanson (hawkuu(AT)gmail.com), May 27 2009]
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FORMULA
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a(n)=2*n^4+4*n^3+6*n^2+4*n+1. [From Al Hakanson (hawkuu(AT)gmail.com), May 27 2009, corrected R. J. Mathar, May 29 2009]
G.f.:-(x^2+10*x+1)*(x+1)^2/(x-1)^5 [From Maksym Voznyy (voznyy(AT)mail.ru), Aug 09 2009]
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MAPLE
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n^4+(n+1)^4;
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PROGRAM
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sage: [i^4+(i+1)^4 for i in xrange(0, 36)] - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 03 2008
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CROSSREFS
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Sequence in context: A078902 A103766 A165347 this_sequence A152913 A044268 A044649
Adjacent sequences: A008511 A008512 A008513 this_sequence A008515 A008516 A008517
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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