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 A306028 Number of length-n restricted growth strings (RGS) with growth <= four and first element in [4]. 3
 1, 4, 26, 214, 2096, 23578, 297692, 4150798, 63148652, 1038505282, 18324165284, 344791676446, 6883214479964, 145160792680210, 3221934217192772, 75022325591768782, 1827426669105650588, 46448931646662304066, 1229212096172351894852, 33800410177112965182910 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..459 FORMULA E.g.f.: exp(Sum_{j=1..4} (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+4))     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..4)), x, n+1), x, n): seq(a(n), n=0..25); CROSSREFS Column k=4 of A306024. Cf. A305964. Sequence in context: A274735 A283828 A349719 * A164101 A048351 A224734 Adjacent sequences:  A306025 A306026 A306027 * A306029 A306030 A306031 KEYWORD nonn AUTHOR Alois P. Heinz, Jun 17 2018 STATUS approved

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Last modified January 24 18:53 EST 2022. Contains 350565 sequences. (Running on oeis4.)