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 A320550 Number of partitions of n into parts of exactly eight sorts which are introduced in ascending order such that sorts of adjacent parts are different. 3
 1, 29, 492, 6401, 70880, 704676, 6490951, 56524414, 471750268, 3810085913, 29989229889, 231255237342, 1754111872952, 13128442914265, 97189645391839, 713050007293418, 5192646586543845, 37581376345173772, 270593146238709314, 1939929376873532436 (list; graph; refs; listen; history; text; internal format)
 OFFSET 8,2 LINKS Alois P. Heinz, Table of n, a(n) for n = 8..1000 FORMULA a(n) ~ 7^(n-1) / (7! * QPochhammer[1/7]). - Vaclav Kotesovec, Oct 25 2018 MAPLE b:= proc(n, i, k) option remember; `if`(n=0 or i=1, k^(n-1), b(n, i-1, k) +`if`(i>n, 0, k*b(n-i, i, k))) end: A:= (n, k)-> `if`(n=0, 1, `if`(k<2, k, k*b(n\$2, k-1))): a:= n-> (k-> add(A(n, k-i)*(-1)^i/(i!*(k-i)!), i=0..k))(8): seq(a(n), n=8..40); CROSSREFS Column k=8 of A262495. Cf. A258463. Sequence in context: A261540 A173986 A258462 * A211833 A022753 A225969 Adjacent sequences: A320547 A320548 A320549 * A320551 A320552 A320553 KEYWORD nonn AUTHOR Alois P. Heinz, Oct 15 2018 STATUS approved

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Last modified June 18 15:05 EDT 2024. Contains 373481 sequences. (Running on oeis4.)