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A293371 Number of partitions of n where each part i is marked with a word of length i over a septenary alphabet whose letters appear in alphabetical order and all seven letters occur at least once in the partition. 2
11481, 352793, 6170486, 83317577, 941895458, 9595504513, 89629486436, 792794568624, 6679198773576, 54486400898447, 431529096734274, 3349089312506511, 25507319202685313, 191694475039884663, 1422950411887109983, 10467534744471771547, 76364568808571920303 (list; graph; refs; listen; history; text; internal format)
OFFSET
7,1
LINKS
FORMULA
a(n) ~ c * 7^n, where c = 3.519268129363442517546929108933080435102442778133731795486515352... - Vaclav Kotesovec, Oct 11 2017
MAPLE
b:= proc(n, i, k) option remember; `if`(n=0, 1, `if`(i<1, 0,
b(n, i-1, k)+`if`(i>n, 0, b(n-i, i, k)*binomial(i+k-1, k-1))))
end:
a:= n-> (k-> add(b(n$2, k-i)*(-1)^i*binomial(k, i), i=0..k))(7):
seq(a(n), n=7..30);
CROSSREFS
Column k=7 of A261719.
Sequence in context: A023071 A349746 A100972 * A251879 A201048 A236522
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Oct 07 2017
STATUS
approved

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Last modified April 13 09:16 EDT 2024. Contains 371640 sequences. (Running on oeis4.)