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A016820
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a(n) = (4*n + 1)^8.
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1
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1, 390625, 43046721, 815730721, 6975757441, 37822859361, 152587890625, 500246412961, 1406408618241, 3512479453921, 7984925229121, 16815125390625, 33232930569601, 62259690411361, 111429157112001, 191707312997281, 318644812890625, 513798374428641
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OFFSET
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0,2
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LINKS
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FORMULA
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a(0) = 1, a(1) = 390625, a(2) = 43046721, a(3) = 815730721, a(4) = 6975757441, a(5) = 37822859361, a(6) = 152587890625, a(7) = 500246412961, a(8) = 1406408618241, 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). - Harvey P. Dale, Jul 11 2013
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MAPLE
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MATHEMATICA
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(4 * Range[0, 20] + 1)^8 (* or *) LinearRecurrence[{9, -36, 84, -126, 126, -84, 36, -9, 1}, {1, 390625, 43046721, 815730721, 6975757441, 37822859361, 152587890625, 500246412961, 1406408618241}, 20] (* Harvey P. Dale, Jul 11 2013 *)
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PROG
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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