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 1-10 of 24 results. Next

A050305 Matrix square of inverse partition triangle A038498.

Original entry on oeis.org

1, -2, 1, 1, -2, 1, 3, -1, -2, 1, -2, 4, -1, -2, 1, -2, 2, 2, -1, -2, 1, -3, -1, 3, 2, -1, -2, 1, -1, -4, 3, 1, 2, -1, -2, 1, 5, -5, -5, 4, 1, 2, -1, -2, 1, 4, -4, -2, -1, 2, 1, 2, -1, -2, 1, 5, 1, -5, -3, 0, 2, 1, 2, -1, -2, 1, 1, 7, -5, -4, 1, -2, 2, 1, 2, -1, -2, 1, 1, 6, 2, -5, -5, 2
Offset: 1

Views

Author

Christian G. Bower, Aug 15 1999

Keywords

Examples

			1; -2,1; 1,-2,1; 3,-1,-2,1; ...

Crossrefs

Cf. A050306-A050313.

A050313 Matrix 10th power of inverse partition triangle A038498.

Original entry on oeis.org

1, -10, 1, 45, -10, 1, -65, 35, -10, 1, -120, -20, 35, -10, 1, 408, -140, -30, 35, -10, 1, -43, 223, -95, -30, 35, -10, 1, -703, 180, 203, -105, -30, 35, -10, 1, 210, -403, -15, 248, -105, -30, 35, -10, 1, 683, -413, -80, -35, 238, -105, -30, 35, -10, 1, 243
Offset: 1

Views

Author

Christian G. Bower, Aug 15 1999

Keywords

Examples

			1; -10,1; 45,-10,1; -65,35,-10,1; ...

Crossrefs

Cf. A050305-A050312.

A039800 Column 1 of Inverse partition triangle A038498.

Original entry on oeis.org

1, -1, 0, 1, 0, 0, -1, -1, 0, 0, 1, 1, 2, 2, 1, 0, -1, -2, -3, -4, -5, -5, -5, -4, -3, -1, 2, 5, 8, 11, 14, 17, 18, 20, 20, 20, 18, 16, 11, 8, 0, -6, -15, -23, -34, -43, -54, -63, -73, -81, -88, -95, -98, -101, -99, -99, -89, -86, -70, -60, -38, -24, 8, 25, 62
Offset: 1

Views

Author

Christian G. Bower, Feb 15 1999

Keywords

Crossrefs

Cf. A038498, A039801, A039802, A039803, A039804.

Programs

  • PARI
    tp(n, k) = if (n<1, 0, if (k<1, 0, if (k == n, 1, if (k > n, 0, tp(n-1, k-1) + tp(n-k, k)))));
lista(nn) = {my(mtp = matrix(nn, nn, n, k, tp(n, k)), mtpi = mtp^(-1)); vector(nn, k, mtpi[k, 1]);}  \\ Michel Marcus, Feb 27 2021

Extensions

a(60) onward corrected by Sean A. Irvine, Feb 26 2021

A039804 Column 5 of Inverse partition triangle A038498.

Original entry on oeis.org

1, -1, -1, 0, 0, 1, 1, 2, 0, 0, -1, -1, -2, -2, -2, -4, -1, -2, 0, 0, 3, 4, 6, 6, 8, 8, 10, 10, 9, 9, 7, 5, 2, 0, -7, -10, -18, -22, -29, -32, -41, -43, -49, -50, -54, -53, -54, -50, -46, -38, -30, -18, -6, 8, 25, 43, 62, 82, 108, 128, 155
Offset: 5

Views

Author

Christian G. Bower, Feb 15 1999

Keywords

Crossrefs

Cf. A039800-A039803.

Extensions

a(64) corrected by Sean A. Irvine, Feb 27 2021

A039803 Column 4 of inverse partition triangle A038498.

Original entry on oeis.org

1, -1, -1, 0, 0, 2, 1, 1, 0, -1, -1, -2, -3, -3, -2, -2, 0, 1, 3, 4, 6, 7, 9, 8, 10, 9, 8, 6, 3, -2, -5, -10, -16, -20, -27, -32, -37, -40, -44, -43, -47, -42, -42, -34, -30, -18, -12, 7, 17, 39, 53, 76, 92, 118, 133, 158, 175, 196, 210, 226, 237, 244
Offset: 4

Views

Author

Christian G. Bower, Feb 15 1999

Keywords

Links

Crossrefs

Cf. A038498, A039800, A039801, A039802, A039804.

Programs

  • PARI
    first(n) = { my(m = matrix(n + 4, n + 4)); for(i = 2, n + 4, m[i, i] = 1; ); for(k = 2, n + 4, for(i = k + 1, n + 4, m[i, k] = m[i - (k-1), k] + m[i-1,k-1] ) ); m = matrix(n + 3, n + 3, i, j, m[i + 1, j + 1])^-1; vector(n, i, m[i + 3, 4]) } \\ David A. Corneth, Feb 27 2021

Extensions

a(63) onward corrected by Sean A. Irvine, Feb 27 2021

A039801 Column 2 of Inverse partition triangle A038498.

Original entry on oeis.org

1, -1, -1, 1, 1, 1, 0, -1, -2, -2, -1, -1, 0, 2, 4, 4, 5, 5, 5, 2, 1, -2, -5, -8, -11, -14, -17, -18, -20, -18, -18, -11, -9, -1, 4, 15, 22, 34, 41, 54, 61, 70, 77, 83, 87, 87, 86, 80, 76, 59, 50, 27, 11, -19, -39, -78, -100, -143, -170, -216, -243, -290, -316
Offset: 2

Views

Author

Christian G. Bower, Feb 15 1999

Keywords

Crossrefs

Cf. A039800-A039804.

Extensions

a(61) onward corrected by Sean A. Irvine, Feb 27 2021

A039802 Column 3 of Inverse partition triangle A038498.

Original entry on oeis.org

1, -1, -1, 0, 1, 2, 0, 1, -1, -2, -2, -3, -2, -2, 1, 1, 3, 4, 7, 7, 8, 8, 7, 5, 2, -1, -6, -8, -15, -18, -24, -27, -31, -31, -35, -33, -30, -27, -21, -13, -4, 7, 21, 34, 51, 66, 84, 98, 117, 131, 145, 154, 164, 169, 170, 171, 164, 154, 141, 124, 94, 72, 34
Offset: 3

Views

Author

Christian G. Bower, Feb 15 1999

Keywords

Crossrefs

Cf. A039800-A039804.

Extensions

a(62) onward corrected by Sean A. Irvine, Feb 27 2021

A050306 Matrix cube of inverse partition triangle A038498.

Original entry on oeis.org

1, -3, 1, 3, -3, 1, 5, 0, -3, 1, -8, 8, 0, -3, 1, -5, 0, 5, 0, -3, 1, -1, -8, 3, 5, 0, -3, 1, 5, -9, 0, 0, 5, 0, -3, 1, 17, -3, -15, 3, 0, 5, 0, -3, 1, 6, 4, -2, -7, 0, 0, 5, 0, -3, 1, -1, 15, 0, -8, -4, 0, 0, 5, 0, -3, 1, -14, 20, 1, -2, 0, -7, 0, 0, 5, 0, -3, 1, -11, 2, 19, 0, -8, 3
Offset: 1

Views

Author

Christian G. Bower, Aug 15 1999

Keywords

Examples

			1; -3,1; 3,-3,1; 5,0,-3,1; ...

Crossrefs

Cf. A050305-A050313.

A050312 Matrix 9th power of inverse partition triangle A038498.

Original entry on oeis.org

1, -9, 1, 36, -9, 1, -39, 27, -9, 1, -114, -3, 27, -9, 1, 264, -117, -12, 27, -9, 1, 81, 111, -81, -12, 27, -9, 1, -429, 192, 108, -90, -12, 27, -9, 1, -69, -153, 30, 144, -90, -12, 27, -9, 1, 284, -387, 39, 27, 135, -90, -12, 27, -9, 1, 364, 101, -234, -123, 63
Offset: 1

Views

Author

Christian G. Bower, Aug 15 1999

Keywords

Examples

			1; -9,1; 36,-9,1; -39,27,-9,1; ...

Crossrefs

Cf. A050305-A050313.

A050307 Matrix 4th power of inverse partition triangle A038498.

Original entry on oeis.org

1, -4, 1, 6, -4, 1, 6, 2, -4, 1, -19, 12, 2, -4, 1, -5, -7, 8, 2, -4, 1, 11, -18, -1, 8, 2, -4, 1, 16, -7, -6, -5, 8, 2, -4, 1, 26, 13, -24, 0, -5, 8, 2, -4, 1, -10, 19, 11, -12, -4, -5, 8, 2, -4, 1, -28, 23, 18, -6, -6, -4, -5, 8, 2, -4, 1, -38, 14, 4, 12, 6, -10, -4, -5, 8, 2, -4
Offset: 1

Views

Author

Christian G. Bower, Aug 15 1999

Keywords

Examples

			1; -4,1; 6,-4,1; 6,2,-4,1; ...

Crossrefs

Cf. A050305-A050313.
Showing 1-10 of 24 results. Next

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