A035401 Limit of the position of the n-th partition into parts 5k+1 or 5k+4 in the list of all integer partitions sorted in reverse lexicographic order, for integers == 1 (mod 5).

1, 4, 14, 19, 32, 37, 45, 99, 105, 109, 118, 125, 139, 197, 202, 215, 218, 225, 239, 243, 253, 272, 510, 516, 520, 528, 531, 538, 577, 583, 588, 600, 633, 641, 657, 684, 917, 922, 935, 938, 945, 964, 968, 972, 982, 1051, 1056, 1069, 1077, 1093, 1141, 1146

Offset

1,2

References

G. E. Andrews, The Theory of Partitions, Addison-Wesley, 1976, p. 109.

Links

Sean A. Irvine, Table of n, a(n) for n = 1..1000

Sean A. Irvine, Java program (github)

N. J. A. Sloane, An exchange of emails with Olivier Gerard concerning this sequence

Crossrefs

Cf. A003114, A035402, A035403, A035404, A035405.

Sequence in context: A271375 A070902 A059007 * A139330 A051448 A075319

Adjacent sequences: A035398 A035399 A035400 * A035402 A035403 A035404

Keyword

nonn

Author

Olivier Gérard

Extensions

Revised by Geoffrey Caveney and Sean A. Irvine, Sep 03 2025

Status

approved