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A160743
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8*P_7(n), 8 times the Legendre Polynomial of order 7 at n.
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2
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0, 8, 17593, 389112, 3169562, 15694600, 57385803, 170880248, 438565492, 1005601032, 2110507325, 4124403448, 7599974478, 13331249672, 22425272527, 36386743800, 57216718568, 87526438408, 130667379777, 190878599672, 273452459650, 384919809288, 533255710163
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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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G.f.: x*(8 + 17529*x + 248592*x^2 + 548822*x^3 + 248592*x^4 + 17529*x^5 + 8*x^6) / (1 - x)^8.
a(n) = 8*a(n-1) - 28*a(n-2) + 56*a(n-3) - 70*a(n-4) + 56*a(n-5) - 28*a(n-6) + 8*a(n-7) - a(n-8) for n>7.
(End)
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MAPLE
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8*orthopoly[P](7, n) ;
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MATHEMATICA
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Table[8 LegendreP[7, n], {n, 0, 50}]
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PROG
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(PARI) concat(0, Vec(x*(8 + 17529*x + 248592*x^2 + 548822*x^3 + 248592*x^4 + 17529*x^5 + 8*x^6) / (1 - x)^8 + O(x^40))) \\ Colin Barker, Jul 23 2019
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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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