A035409 -id:A035409 - cp's OEIS frontend

A035419 First differences of A035409.

21, 3, 4, 8, 105, 5, 31, 5, 11, 9, 5, 44, 3, 9, 423, 5, 36, 12, 5, 5, 16, 3, 116, 7, 13, 9, 9, 5, 54, 16, 3, 9, 25, 7, 136, 5, 11, 1523, 5, 36, 12, 5, 7, 16, 3, 181, 9, 3, 55, 7, 13, 8, 73, 5, 11, 291, 3, 9, 15, 21, 9, 5, 55, 16, 3, 11, 2, 25, 7, 235, 3, 4, 8

Offset: 1

Olivier Gérard

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

Cf. A003106, A035409, A035416, A035417, A035418, A035420.

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

A035406 Limit of the position of the n-th partition into parts 5k+2 or 5k+3 in the list of all integer partitions sorted in reverse lexicographic order, for integers == 1 (mod 5).

Original entry on oeis.org

5, 10, 46, 58, 63, 70, 86, 89, 273, 287, 296, 299, 354, 361, 376, 397, 400, 404, 412, 485, 490, 501, 1213, 1227, 1236, 1239, 1310, 1312, 1337, 1344, 1352, 1383, 1388, 1561, 1564, 1573, 1588, 1600, 1621, 1624, 1628, 1636, 1736, 1741, 1772, 1777, 1790, 1834

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)

Cf. A003106, A035407, A035408, A035409, A035410.

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

A035407 Limit of the position of the n-th partition into parts 5k+2 or 5k+3 in the list of all integer partitions sorted in reverse lexicographic order, for integers == 2 (mod 5).

Original entry on oeis.org

1, 10, 15, 70, 86, 89, 100, 102, 127, 134, 376, 397, 400, 404, 412, 485, 490, 501, 511, 513, 539, 547, 565, 570, 658, 661, 670, 1600, 1621, 1624, 1628, 1636, 1736, 1741, 1772, 1777, 1790, 1834, 1837, 1846, 2049, 2056, 2069, 2090, 2092, 2118, 2126, 2133, 2145

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. A003106, A035406, A035408, A035409, A035410.

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

A035408 Limit of the position of the n-th partition into parts 5k+2 or 5k+3 in the list of all integer partitions sorted in reverse lexicographic order, for integers == 3 (mod 5).

Original entry on oeis.org

1, 15, 24, 27, 100, 102, 127, 134, 144, 149, 180, 185, 511, 513, 539, 547, 565, 570, 658, 661, 670, 689, 694, 730, 742, 747, 752, 768, 771, 887, 894, 907, 2090, 2092, 2118, 2126, 2133, 2145, 2150, 2283, 2288, 2332, 2335, 2344, 2355, 2358, 2413, 2420, 2671

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. A003106, A035406, A035407, A035409, A035410.

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

A035410 Limit of the position of the n-th partition into parts 5k+2 or 5k+3 in the list of all integer partitions sorted in reverse lexicographic order, for integers == 0 (mod 5).

Original entry on oeis.org

3, 5, 31, 39, 46, 58, 63, 196, 205, 210, 254, 257, 266, 273, 287, 296, 299, 354, 361, 916, 925, 930, 984, 1000, 1003, 1012, 1037, 1044, 1180, 1185, 1196, 1213, 1227, 1236, 1239, 1310, 1312, 1337, 1344, 1352, 1383, 1388, 1561, 1564, 1573, 1588, 3507, 3516, 3521

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. A003106, A035406, A035407, A035408, A035409.

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

cp's OEIS Frontend

A035419 First differences of A035409.

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A035406 Limit of the position of the n-th partition into parts 5k+2 or 5k+3 in the list of all integer partitions sorted in reverse lexicographic order, for integers == 1 (mod 5).

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Author

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Extensions

A035407 Limit of the position of the n-th partition into parts 5k+2 or 5k+3 in the list of all integer partitions sorted in reverse lexicographic order, for integers == 2 (mod 5).

Views

Author

Keywords

References

Links

Crossrefs

Extensions

A035408 Limit of the position of the n-th partition into parts 5k+2 or 5k+3 in the list of all integer partitions sorted in reverse lexicographic order, for integers == 3 (mod 5).

Views

Author

Keywords

References

Links

Crossrefs

Extensions

A035410 Limit of the position of the n-th partition into parts 5k+2 or 5k+3 in the list of all integer partitions sorted in reverse lexicographic order, for integers == 0 (mod 5).

Views

Author

Keywords

References

Links

Crossrefs

Extensions