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

Author

Olivier Gérard

Keywords

• nonn
• changed

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.

Extensions

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