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A098936
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Numbers n such that the partition function A000041(k) is even and odd the same number of times for 0 <= k <= n.
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0
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6671, 6673, 7931, 7941, 7945, 7947, 7949, 7951, 7953, 7957, 7959, 7973, 7979, 8113, 8117, 8125, 8127, 8135, 8139, 8141, 8183, 8193, 8195, 8199, 8201, 8205, 8207, 8211, 8213, 8215, 8217, 8269, 8325, 8331, 8335, 8341, 8343, 8345, 8351, 8353, 8357, 8359
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OFFSET
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1,1
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REFERENCES
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Berndt, Bruce C.; Yee, Ae Ja; Zaharescu, Alexandru New theorems on the parity of partition functions. J. Reine Angew. Math. 566 (2004), 91-109. MR2039324
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LINKS
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MATHEMATICA
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Flatten[Position[Accumulate[Table[If[EvenQ[PartitionsP[n]], 1, -1], {n, 0, 8400}]], _?(#==0&)]]-1 (* Harvey P. Dale, Aug 25 2020 *)
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PROG
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(PARI) lista(n) = {ne = 0; no = 0; for (i=0, n, if (numbpart(i) % 2, no++, ne++); if (ne == no, print1(i, ", "); ); ); } \\ Michel Marcus, Aug 15 2013
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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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