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A016783
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a(n) = (3*n+1)^7.
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7
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1, 16384, 823543, 10000000, 62748517, 268435456, 893871739, 2494357888, 6103515625, 13492928512, 27512614111, 52523350144, 94931877133, 163840000000, 271818611107, 435817657216, 678223072849, 1028071702528
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OFFSET
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0,2
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COMMENTS
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The inverse binomial transform is 1, 16383, 790776, 7578522, 27624240, 46539360, 36741600, 11022480, 0, 0,... (0 continued). - R. J. Mathar, May 07 2008
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LINKS
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FORMULA
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G.f.: (1+16376x+692499x^2+3870352x^3+4890287x^4+1475736x^5+77101x^6 +128x^7)/ (1-x)^8. - R. J. Mathar, May 07 2008
E.g.f.: exp(x)*(2187*x^7+51030*x^6+387828*x^5+1151010*x^4 +1263087*x^3 +395388*x^2 +16383*x+1). - Robert Israel, Jun 15 2016
Sum_{n>=0} 1/a(n) = (147555*zeta(7) + 28*sqrt(3)*Pi^7)/295245. - Ilya Gutkovskiy, Jun 16 2016
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MATHEMATICA
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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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