A213455 90*A002451(n). (Formerly N2329)

90, 1260, 13230, 126720, 1171170, 10663380, 96461910, 870123240, 7838973450, 70582218300, 635365793790, 5718795460560, 51471172410930, 463248604762020, 4169269655112870, 37523555745034680, 337712517101387610, 3039414715496790540, 27354740685808323150, 246192699157623741600, 2215734424360009007490

Offset

0,1

References

S. A. Joffe, Calculation of the first thirty-two Eulerian numbers from central differences of zero, Quart. J. Pure Appl. Math. 47 (1914), 103-126.

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

Links

Table of n, a(n) for n=0..20.

Index entries for linear recurrences with constant coefficients, signature (14, -49, 36).

Formula

From Chai Wah Wu, Jan 30 2018: (Start)

a(n) = 14*a(n-1) - 49*a(n-2) + 36*a(n-3) for n > 2.

G.f.: 90/((1 - x)*(1 - 4*x)*(1 - 9*x)). (End)

Crossrefs

Cf. A002451. A diagonal of the triangle in A241171.

Sequence in context: A013428 A013429 A008449 * A155016 A179800 A133350

Adjacent sequences: A213452 A213453 A213454 * A213456 A213457 A213458

Keyword

nonn

Author

N. J. A. Sloane, Jun 12 2012

Status

approved