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0, 1, 136, 3321, 32896, 195625, 840456, 2883601, 8390656, 21526641, 50005000, 107186761, 215001216, 407879641, 737913736, 1281470625, 2147516416, 3487920481, 5510032776, 8491846681, 12800080000, 18911526921, 27438053896, 39155632561, 55037822976
(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.
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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)=136, a(3)=3321, a(4)=32896, a(5)=195625, a(6)=840456, a(7)=2883601, a(8)=8390656, a(n)=9*a(n-1)-36*a(n-2)+ 84*a(n-3)-126*a(n-4)+126*a(n-5)-84*a(n-6)+36*a(n-7)-9*a(n-8)+a(n-9) [From Harvey P. Dale, Oct 11 2011]
G.f.: -((x*(x+1)*(x*(x*(x*(x*(x*(x+126)+2007)+5812)+2007)+126)+1))/ (x-1)^9) [From Harvey P. Dale, Oct 11 2011]
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MATHEMATICA
| Table[(n^8+n^4)/2, {n, 0, 30}] (* or *) LinearRecurrence[ {9, -36, 84, -126, 126, -84, 36, -9, 1}, {0, 1, 136, 3321, 32896, 195625, 840456, 2883601, 8390656}, 30] (* From Harvey P. Dale, Oct 11 2011 *)
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PROG
| (MAGMA) [(n^8 + n^4)/2: n in [0..50]]; // Vincenzo Librandi, Jun 14 2011
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CROSSREFS
| Sequence in context: A023070 A015163 A072897 * A194014 A035819 A157880
Adjacent sequences: A071228 A071229 A071230 * A071232 A071233 A071234
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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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