cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-4 of 4 results.

A365290 a(n) is the least positive integer that can be expressed as the sum of a prime number and a positive cube in exactly n ways.

Original entry on oeis.org

1, 3, 30, 128, 1130, 2214, 6654, 10358, 24496, 37599, 64034, 59455, 85377, 158435, 240074, 253628, 313407, 405925, 548802, 891845, 809384, 1317788, 1547004, 2049122, 1838349, 2516848, 3192927, 2448059, 4349417, 4709007, 4438311, 6483753, 6175237, 8306209
Offset: 0

Views

Author

Ilya Gutkovskiy, Aug 31 2023

Keywords

Examples

			For n = 3: 128 = 3 + 5^3 = 101 + 3^3 = 127 + 1^3.

Links

Crossrefs

Cf. A000040, A000578, A064283, A283760, A365289, A365292.

Extensions

More terms from Rémy Sigrist, Sep 07 2023

A365291 a(n) is the least positive integer that can be expressed as the sum of a prime number and a fourth power of a nonnegative integer in exactly n ways.

Original entry on oeis.org

1, 2, 3, 83, 1298, 4259, 11087, 22637, 65579, 102044, 181838, 234527, 467627, 754652, 991889, 1431113, 1875902, 2271407, 4102958, 4851593, 8458148, 6826874, 10715858, 15453983, 18805058, 23502134, 27671573, 34425893, 34967159, 47158793, 54659384, 78188129, 67269347
Offset: 0

Views

Author

Ilya Gutkovskiy, Aug 31 2023

Keywords

Examples

			For n = 3: 83 = 2 + 3^4 = 67 + 2^4 = 83 + 0^4.

Crossrefs

Cf. A000040, A000583, A365126, A365288, A365289, A365292.

Extensions

More terms from Jinyuan Wang, Sep 13 2023

A365288 a(n) is the least positive integer that can be expressed as the sum of a prime number and a square of a nonnegative integer in exactly n ways.

Original entry on oeis.org

1, 2, 3, 11, 38, 107, 83, 167, 293, 227, 398, 677, 668, 902, 908, 1238, 1487, 1448, 1748, 1592, 2273, 2672, 3167, 3947, 4457, 3632, 3713, 6047, 5843, 7052, 8123, 5792, 5297, 9602, 9092, 6368, 9908, 13268, 8153, 9833, 8777, 16112, 15923, 14528, 14852, 18233
Offset: 0

Views

Author

Ilya Gutkovskiy, Aug 31 2023

Keywords

Examples

			For n = 3: 11 = 2 + 3^2 = 7 + 2^2 = 11 + 0^2.

Crossrefs

Cf. A000040, A000290, A002471, A064283, A365289, A365291.

A365504 a(n) is the least integer that can be expressed as the sum of a prime number and the n-th power of a nonnegative integer in exactly n ways, or -1 if no such integer exists.

Original entry on oeis.org

2, 3, 67, 1298, 254179
Offset: 1

Views

Author

Ilya Gutkovskiy, Sep 07 2023

Keywords

Examples

			For n = 3: 67 = 3 + 4^3 = 59 + 2^3 = 67 + 0^3.

Crossrefs

Cf. A365288, A365289, A365291, A365505.
Showing 1-4 of 4 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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