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

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A306030 Number of length-n restricted growth strings (RGS) with growth <= six and first element in [6]. 3
 1, 6, 57, 685, 9780, 160201, 2943277, 59687920, 1320233315, 31557691541, 809161436022, 22121068343155, 641530646758325, 19651776950222806, 633510644286624717, 21422880077590022265, 757789084383273607060, 27969244566731240796621, 1074750913823536151018737 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..431 FORMULA E.g.f.: exp(Sum_{j=1..6} (exp(j*x)-1)/j). MAPLE b:= proc(n, m) option remember; `if`(n=0, 1,       add(b(n-1, max(m, j)), j=1..m+6))     end: a:= n-> b(n, 0): seq(a(n), n=0..25); # second Maple program: a:= n-> n!*coeff(series(exp(add((exp(j*x)-1)/j, j=1..6)), x, n+1), x, n): seq(a(n), n=0..25); CROSSREFS Column k=6 of A306024. Cf. A305966. Sequence in context: A060435 A153851 A141372 * A152170 A087659 A107718 Adjacent sequences:  A306027 A306028 A306029 * A306031 A306032 A306033 KEYWORD nonn AUTHOR Alois P. Heinz, Jun 17 2018 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.

Last modified November 30 17:12 EST 2021. Contains 349424 sequences. (Running on oeis4.)