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0, 1, 36, 378, 2080, 7875, 23436, 58996, 131328, 266085, 500500, 886446, 1493856, 2414503, 3766140, 5697000, 8390656, 12071241, 17009028, 23526370, 32004000, 42887691, 56695276, 74024028, 95558400, 122078125, 154466676, 193720086, 240956128, 297423855, 364513500
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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REFERENCES
| T. A. Gulliver, Sequences from Arrays of Integers, Int. Math. Journal, Vol. 1, No. 4, pp. 323-332, 2002.
T. A. Gulliver, Sequences from Cubes of Integers, Int. Math. Journal, 4 (2003), 439-445.
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..2000
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FORMULA
| a(0)=0, a(1)=1, a(2)=36, a(3)=378, a(4)=2080, a(5)=7875, a(6)=23436, a(n)=7*a(n-1)-21*a(n-2)+35*a(n-3)-35*a(n-4)+21*a(n-5)-7*a(n-6)+a(n-7) [From Harvey P. Dale, Nov 06 2011]
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MATHEMATICA
| Table[(n^6+n^3)/2, {n, 0, 40}] (* or *) LinearRecurrence[{7, -21, 35, -35, 21, -7, 1}, {0, 1, 36, 378, 2080, 7875, 23436}, 40] (* From Harvey P. Dale, Nov 06 2011 *)
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PROG
| (MAGMA) [(n^6 + n^3)/2: n in [0..50]]; // Vincenzo Librandi, Jun 14 2011
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CROSSREFS
| Sequence in context: A053136 A000821 A203282 * A135828 A034686 A160280
Adjacent sequences: A071229 A071230 A071231 * A071233 A071234 A071235
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Jun 11 2002
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