login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A294511 a(n) = n! * [x^n] exp(2*n*x)*(BesselI(0,2*x) - BesselI(1,2*x))^n. 1
1, 1, 6, 57, 752, 12730, 263172, 6427239, 181073552, 5780683422, 206236365320, 8131806499806, 351152348814720, 16481622338583844, 835440526931000200, 45483669552645222975, 2646983711809388956320, 163980758725017626674422, 10774158375350926668928248 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..18.

FORMULA

a(n) = A294498(n,n).

a(n) ~ c * d^n * n^n, where d = 1.38107962281156411118368063513315508389931... and c = 0.822562099033048851679532590998951521... - Vaclav Kotesovec, Nov 13 2017

MATHEMATICA

Table[n! SeriesCoefficient[Exp[2 n x] (BesselI[0, 2 x] - BesselI[1, 2 x])^n, {x, 0, n}], {n, 0, 19}]

CROSSREFS

Main diagonal of A294498.

Cf. A000108.

Sequence in context: A000406 A305276 A032119 * A242817 A295238 A256016

Adjacent sequences:  A294508 A294509 A294510 * A294512 A294513 A294514

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Nov 01 2017

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified August 10 07:37 EDT 2020. Contains 336368 sequences. (Running on oeis4.)