

A370384


Number of permutations of [n] having no substring [k,k+1,k+2,k+3,k+4,k+5].


2



1, 1, 2, 6, 24, 120, 719, 5037, 40306, 362802, 3628296, 39913080, 478970641, 6226733531, 87175347936, 1307641346772, 20922387099240, 355682119243320, 6402298503373917, 121643960874649867, 2432883613692550316, 51090627024035616300, 1123995015882951892680
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OFFSET

0,3


LINKS



FORMULA

G.f.: Sum_{k>=0} k! * ( (xx^6)/(1x^6) )^k.


PROG

(PARI) my(N=30, x='x+O('x^N)); Vec(sum(k=0, N, k!*((xx^6)/(1x^6))^k))


CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



