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 1-3 of 3 results.

A358604 a(n) = Sum_{k=0..floor(n/3)} (-1)^k * (n-2*k)!/(n-3*k)!.

Original entry on oeis.org

1, 1, 1, 0, -1, -2, -1, 2, 7, 8, -1, -26, -49, -28, 103, 314, 359, -344, -2113, -3682, -161, 14684, 36791, 25762, -100297, -373456, -472241, 587846, 3877487, 7149988, -1111801, -40808566, -103472249, -56751688, 424662623, 1490284654, 1674543359, -4121143444
Offset: 0

Views

Author

Seiichi Manyama, Nov 23 2022

Keywords

Crossrefs

Programs

  • PARI
    a(n) = sum(k=0, n\3, (-1)^k*(n-2*k)!/(n-3*k)!);

Formula

a(n) = (2 * a(n-1) - n * a(n-3) + 1)/3 for n > 2.

A358605 a(n) = Sum_{k=0..floor(n/4)} (-1)^k * (n-3*k)!/(n-4*k)!.

Original entry on oeis.org

1, 1, 1, 1, 0, -1, -2, -3, -2, 1, 6, 13, 16, 9, -14, -59, -108, -119, -26, 261, 736, 1177, 1026, -731, -4964, -11079, -14978, -6299, 30024, 102841, 189466, 190917, -97004, -921191, -2301354, -3396539, -1674368, 7265241, 27311794, 53600101, 56943756, -31760903, -310594514, -809146971
Offset: 0

Views

Author

Seiichi Manyama, Nov 23 2022

Keywords

Crossrefs

Programs

  • PARI
    a(n) = sum(k=0, n\4, (-1)^k*(n-3*k)!/(n-4*k)!);

Formula

a(n) = (3 * a(n-1) - n * a(n-4) + 1)/4 for n > 3.

A358606 a(n) = Sum_{k=0..floor(n/5)} (-1)^k * (n-4*k)!/(n-5*k)!.

Original entry on oeis.org

1, 1, 1, 1, 1, 0, -1, -2, -3, -4, -3, 0, 5, 12, 21, 26, 21, 0, -43, -114, -195, -244, -195, 42, 581, 1440, 2421, 2990, 2157, -1644, -9955, -22974, -37515, -44248, -24219, 50310, 205661, 442140, 689997, 740906, 190245, -1534224, -4941355, -9887058, -14429619, -13255900, 3510141
Offset: 0

Views

Author

Seiichi Manyama, Nov 23 2022

Keywords

Crossrefs

Programs

  • PARI
    a(n) = sum(k=0, n\5, (-1)^k*(n-4*k)!/(n-5*k)!);

Formula

a(n) = (4 * a(n-1) - n * a(n-5) + 1)/5 for n > 4.
Showing 1-3 of 3 results.