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 1-2 of 2 results.

A362586 Triangle read by rows, T(n, k) = A094088(n) * binomial(n, k).

Original entry on oeis.org

1, 1, 1, 7, 14, 7, 121, 363, 363, 121, 3907, 15628, 23442, 15628, 3907, 202741, 1013705, 2027410, 2027410, 1013705, 202741, 15430207, 92581242, 231453105, 308604140, 231453105, 92581242, 15430207, 1619195761, 11334370327, 34003110981, 56671851635, 56671851635, 34003110981, 11334370327, 1619195761
Offset: 0

Views

Author

Peter Luschny, Apr 26 2023

Keywords

Examples

			[0]      1;
[1]      1,       1;
[2]      7,      14,       7;
[3]    121,     363,     363,     121;
[4]   3907,   15628,   23442,   15628,    3907;
[5] 202741, 1013705, 2027410, 2027410, 1013705, 202741;

Crossrefs

Family of triangles: A055372 (m=0, Pascal), A362585 (m=1, Fubini), this sequence (m=2, Joffe), A362849 (m=3, A278073).
Cf. A094088 (column 0 and main diagonal), A362587 (row sums).

Programs

  • SageMath
    # uses[TransOrdPart from A362585]
def A362586(n) -> list[int]: return TransOrdPart(2, n)
for n in range(6): print(A362586(n))

A362849 Triangle read by rows, T(n, k) = A243664(n) * binomial(n, k).

Original entry on oeis.org

1, 1, 1, 21, 42, 21, 1849, 5547, 5547, 1849, 426405, 1705620, 2558430, 1705620, 426405, 203374081, 1016870405, 2033740810, 2033740810, 1016870405, 203374081, 173959321557, 1043755929342, 2609389823355, 3479186431140, 2609389823355, 1043755929342, 173959321557
Offset: 0

Views

Author

Peter Luschny, May 05 2023

Keywords

Examples

			[0]         1;
[1]         1,          1;
[2]        21,         42,         21;
[3]      1849,       5547,       5547,       1849;
[4]    426405,    1705620,    2558430,    1705620,     426405;
[5] 203374081, 1016870405, 2033740810, 2033740810, 1016870405, 203374081;

Crossrefs

Family of triangles: A055372 (m=0, Pascal), A362585 (m=1, Fubini), A362586 (m=2, Joffe), this sequence (m=3, A278073).
Cf. A243664 (column 0 and main diagonal).

Programs

  • SageMath
    # uses[TransOrdPart from A362585]
def A362849(n) -> list[int]: return TransOrdPart(3, n)
for n in range(6): print(A362849(n))
Showing 1-2 of 2 results.

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

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