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A293588 E.g.f.: exp(x + x^6/6). 1
1, 1, 1, 1, 1, 1, 121, 841, 3361, 10081, 25201, 55441, 6763681, 86692321, 605765161, 3027624601, 12109056961, 41169011521, 5063607974881, 94197184734241, 939457659787201, 6572292677455681, 36141156689382361, 166238526616664041, 20612479896229156321 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,7

COMMENTS

These are the telephone numbers T^(6)_n of [Artioli et al., p. 7].

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..524

Marcello Artioli, Giuseppe Dattoli, Silvia Licciardi, Simonetta Pagnutti, Motzkin Numbers: an Operational Point of View, arXiv:1703.07262 [math.CO], 2017.

FORMULA

a(n) = a(n-1) + (n-1)!/(n-6)! * a(n-6).

MATHEMATICA

With[{nn=30}, CoefficientList[Series[Exp[x+x^6/6], {x, 0, nn}], x] Range[ 0, nn]!] (* Harvey P. Dale, Dec 11 2017 *)

PROG

(PARI) x = 'x + O('x^30); Vec(serlaplace(exp(x + x^6/6))) \\ Michel Marcus, Oct 13 2017

CROSSREFS

Cf. A000085, A001470, A118934, A052501.

Sequence in context: A293507 A306452 A238250 * A203959 A211472 A223389

Adjacent sequences:  A293585 A293586 A293587 * A293589 A293590 A293591

KEYWORD

nonn

AUTHOR

Eric M. Schmidt, Oct 12 2017

STATUS

approved

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Last modified August 10 14:50 EDT 2020. Contains 336381 sequences. (Running on oeis4.)