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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A292631 a(n) = n! * [x^n] exp(n*x)*(BesselI(0,2*x) + BesselI(1,2*x)).

Original entry on oeis.org

1, 2, 10, 75, 758, 9660, 148772, 2688420, 55784710, 1307378358, 34158527852, 984547901051, 31034429035260, 1062081192039140, 39218355263626632, 1554260970293874135, 65803396940022289734, 2964120950479432183950, 141548149894016562758300, 7143010414313948156920665, 379821534884560034711455956
Offset: 0

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Author

Ilya Gutkovskiy, Sep 20 2017

Keywords

Comments

The n-th term of the n-th binomial transform of A001405.

Crossrefs

Main diagonal of A292630.

Programs

  • Mathematica
    Table[n!*SeriesCoefficient[E^(n*x)*(BesselI[0,2*x] + BesselI[1,2*x]),{x,0,n}], {n,0,20}] (* Vaclav Kotesovec, Sep 20 2017 *)

Formula

a(n) = A292630(n,n).
a(n) ~ (BesselI(0,2) + BesselI(1,2)) * n^n. - Vaclav Kotesovec, Sep 20 2017
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