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A220513
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a(n) = spt(13n+6)/13 where spt(n) = A092269(n).
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3
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2, 140, 3042, 38054, 344212, 2488260, 15235620, 81926240, 396603536, 1759312286, 7246532360, 27998586490, 102294344881, 355704104008, 1183463874068, 3784162891544, 11672177600660, 34840196162760, 100912078549712, 284295561826160
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OFFSET
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0,1
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COMMENTS
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That spt(13n+6) == 0 (mod 13) is one of the congruences stated by George E. Andrews. See theorem 2 in the Andrews' paper. See also A220505 and A220507.
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LINKS
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FORMULA
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MATHEMATICA
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b[n_, i_] := b[n, i] = If[n==0 || i==1, n, {q, r} = QuotientRemainder[n, i]; If[r == 0, q, 0] + Sum[b[n - i*j, i - 1], {j, 0, n/i}]];
spt[n_] := b[n, n];
a[n_] := spt[13 n + 6]/13;
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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