A035404 -id:A035404 - cp's OEIS frontend

A035414 First differences of A035404.

6, 7, 5, 30, 4, 4, 10, 32, 6, 4, 9, 7, 14, 137, 4, 4, 19, 5, 8, 19, 5, 12, 21, 137, 6, 4, 8, 3, 7, 39, 6, 5, 12, 33, 8, 16, 27, 532, 4, 4, 20, 5, 8, 23, 6, 6, 5, 12, 90, 3, 7, 14, 4, 10, 19, 59, 7, 14, 24, 37, 492, 6, 4, 8, 3, 7, 38, 6, 6, 5, 12, 44, 10, 5, 13

Offset: 1

Olivier Gérard

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

First differences of A035404.

Cf. A003114, A035411, A035412, A035413, A035415.

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

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).

Original entry on oeis.org

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

Olivier Gérard

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

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

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

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

A035402 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 == 2 (mod 5).

Original entry on oeis.org

2, 7, 20, 23, 30, 49, 53, 57, 67, 140, 143, 153, 158, 171, 179, 195, 276, 280, 284, 303, 308, 316, 335, 340, 352, 373, 685, 688, 698, 703, 716, 721, 729, 780, 784, 793, 800, 814, 852, 856, 866, 885, 915, 1216, 1220, 1224, 1244, 1249, 1257, 1280, 1286, 1292

Offset: 1

Olivier Gérard

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

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

Cf. A003114, A035401, A035403, A035404, A035405.

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

A035403 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 == 3 (mod 5).

Original entry on oeis.org

4, 8, 12, 32, 37, 45, 68, 74, 80, 85, 97, 197, 202, 215, 218, 225, 239, 243, 253, 272, 374, 380, 387, 392, 420, 424, 428, 438, 463, 470, 484, 508, 917, 922, 935, 938, 945, 964, 968, 972, 982, 1051, 1056, 1069, 1077, 1093, 1141, 1146, 1158, 1179, 1212, 1598

Offset: 1

Olivier Gérard

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

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

Cf. A003114, A035401, A035402, A035404, A035405.

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

A035405 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 == 0 (mod 5).

Original entry on oeis.org

2, 8, 12, 20, 23, 30, 68, 74, 80, 85, 97, 140, 143, 153, 158, 171, 179, 195, 374, 380, 387, 392, 420, 424, 428, 438, 463, 470, 484, 508, 685, 688, 698, 703, 716, 721, 729, 780, 784, 793, 800, 814, 852, 856, 866, 885, 915, 1598, 1604, 1611, 1616, 1646, 1650

Offset: 1

Olivier Gérard

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

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

Cf. A003114, A035401, A035402, A035403, A035404.

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

cp's OEIS Frontend

A035414 First differences of A035404.

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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).

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Extensions

A035402 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 == 2 (mod 5).

Views

Author

Keywords

References

Links

Crossrefs

Extensions

A035403 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 == 3 (mod 5).

Views

Author

Keywords

References

Links

Crossrefs

Extensions

A035405 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 == 0 (mod 5).

Views

Author

Keywords

References

Links

Crossrefs

Extensions