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.

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A243483 Number of isoscent sequences of length n with exactly ten descents.

Original entry on oeis.org

337, 160209, 23441160, 1838225077, 96489145747, 3811395804513, 121601176737897, 3282923948925446, 77478734844431881, 1636893656189797572, 31518723465396312391, 560886706260989476771, 9326899340333117160667, 146227744471477090965955, 2177361235069807245253904
Offset: 17

Views

Author

Joerg Arndt and Alois P. Heinz, Jun 05 2014

Keywords

Crossrefs

Column k=10 of A242352.

Programs

  • Mathematica
    b[n_, i_, t_] := b[n, i, t] = If[n < 1, 1, Expand[Sum[ If[j < i, x, 1] *b[n - 1, j, t + If[j == i, 1, 0]], {j, 0, t + 1}]]]; a[n_] := Coefficient[b[n - 1, 0, 0], x, 10]; Table[a[n], {n, 17, 40}] (* Jean-François Alcover, Feb 09 2015, after A242352 *)

A243484 Number of isoscent sequences of length n with maximal number of descents.

Original entry on oeis.org

1, 1, 2, 1, 6, 2, 28, 10, 1, 98, 22, 2, 570, 130, 17, 1, 1842, 337, 38, 2, 13104, 2437, 318, 26, 1, 45188, 7126, 805, 58, 2, 387323, 61504, 7496, 658, 37, 1, 1422382, 196200, 20978, 1631, 82, 2, 14272601, 1971561, 220497, 19175, 1216, 50, 1, 54989728, 6713935
Offset: 0

Views

Author

Joerg Arndt and Alois P. Heinz, Jun 05 2014

Keywords

Programs

  • Mathematica
    b[n_, i_, t_] := b[n, i, t] = If[n<1, 1, Expand[ Sum[If[jJean-François Alcover, Feb 09 2015, after A242352 *)

Formula

a(n) = A242352(n,n+2-ceiling(2*sqrt(n+1))).
Previous Showing 11-12 of 12 results.