The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A265951 Expansion of Product_{k>=1} 1/(1 - 2*k*x^k). 8
 1, 2, 8, 22, 68, 170, 484, 1166, 3048, 7274, 18000, 41806, 100684, 229258, 535692, 1206230, 2758944, 6123650, 13798088, 30284894, 67272756, 146426002, 321513284, 693944814, 1510245960, 3236648578, 6985572672, 14885926182, 31904642348, 67618415690 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Vaclav Kotesovec, Table of n, a(n) for n = 0..3280 FORMULA a(n) ~ c * n * 2^n, where c = 1/2 * Product_{m>=3} 1/(1 - m/2^(m-1)) = 9.281573281805057363737677116134642024212942973614535341005126953773818... MAPLE b:= proc(n, i) option remember; `if`(n=0 or i=1, 2^n, b(n, i-1) +i*2*b(n-i, min(n-i, i))) end: a:= n-> b(n\$2): seq(a(n), n=0..32); # Alois P. Heinz, Aug 23 2019 MATHEMATICA nmax=40; CoefficientList[Series[Product[1/(1-2*k*x^k), {k, 1, nmax}], {x, 0, nmax}], x] CROSSREFS Cf. A006906, A265974, A265975, A265976. Cf. A032309, A070933, A265955. Sequence in context: A017928 A102880 A137104 * A178159 A262720 A321573 Adjacent sequences: A265948 A265949 A265950 * A265952 A265953 A265954 KEYWORD nonn AUTHOR Vaclav Kotesovec, Dec 19 2015 STATUS approved

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

Last modified July 22 00:58 EDT 2024. Contains 374478 sequences. (Running on oeis4.)