A093314 Number of permutations s_1,s_2,...,s_n of 1,2,...,n with s_1 = 3 and such that for all j=1,2,...,n, s_j divides Sum_{i=1..j} s_i.

0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 12, 20, 20, 1, 163, 55

Offset

1,35

Comments

The beginning elements of the permutation are 3,1,(either 2 or 4),...

The total number of permutations with this property is given in A067957.

Links

Table of n, a(n) for n=1..40.

Matthijs Coster, Sequences

Matthijs Coster, Problem 2001/3-A of the Universitaire Wiskunde Competitie, Nieuw Arch. Wisk. 5/3 (2002), 92-94.

Crossrefs

Cf. A067957, A093313, A093315.

Sequence in context: A331258 A104198 A360529 * A175765 A138166 A208273

Adjacent sequences: A093311 A093312 A093313 * A093315 A093316 A093317

Keyword

nonn,more

Author

Matthijs Coster, Apr 26 2004

Status

approved