A036042 k appears partition(k) times.

0, 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10

Offset

0,3

References

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, 1972, p. 831, column labeled "n".

Links

Robert Price, Table of n, a(n) for n = 0..9295 (0 <= k <=25).

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].

Formula

Sum_{n>=1} (-1)^(n+1)/a(n) = Sum_{n>=2} (-1)^n/A052002(n) = 0.78686... . - Amiram Eldar, Feb 18 2024

Mathematica

Table[ConstantArray[n, PartitionsP[n]], {n, 0, 9}] // Flatten  (* Robert Price, Jun 12 2020 *)

Crossrefs

Cf. A000041, A052002.

Sequence in context: A255121 A095791 A238965 * A162988 A143824 A182009

Adjacent sequences: A036039 A036040 A036041 * A036043 A036044 A036045

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved