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A160828
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4*n^4+24*n^3+84*n^2+144*n+98.
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1
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98, 354, 978, 2258, 4578, 8418, 14354, 23058, 35298, 51938, 73938, 102354, 138338, 183138, 238098, 304658, 384354, 478818, 589778, 719058, 868578, 1040354, 1236498, 1459218, 1710818, 1993698, 2310354, 2663378, 3055458, 3489378, 3968018, 4494354
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| Sums of 4 consecutive fourth powers.
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..10000
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FORMULA
| a(n) = sum_{i=0..3} A000583(n+i) = sum_{j=n..n+3} j^4 = A160827(n)+(n+3)^4 .
G.f.:(-98-18*x^4+72*x^3-188*x^2+136*x)/(x-1)^5 [From Maksym Voznyy (voznyy(AT)mail.ru), Aug 14 2009]
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MAPLE
| A000583 := proc(n) n^4 ; end: A160828 := proc(n) add(A000583(i), i=n..n+3) ; end: seq(A160828(n), n=0..40) ; # R. J. Mathar, May 29 2009
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PROG
| (MAGMA) [4*n^4+24*n^3+84*n^2+144*n+98: n in [0..40]]; // Vincenzo Librandi, Aug 27 2011
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CROSSREFS
| Sequence in context: A202371 A195751 A072607 * A158129 A071319 A203083
Adjacent sequences: A160825 A160826 A160827 * A160829 A160830 A160831
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KEYWORD
| nonn,easy
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AUTHOR
| Al Hakanson (hawkuu(AT)gmail.com), May 27 2009
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EXTENSIONS
| Edited and corrected by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 29 2009
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