A155728 INVERTi transform of A054765: (1, 3, 19, 160, 1744, ...).

1, 2, 14, 121, 1383, 19108, 309708, 5751027, 120357325, 2803145494, 71926499002, 2016492639229, 61338391284387, 2012321446421976, 70833707268623448, 2663117961930477847, 106515148705020928105, 4516063573152118802282, 202328834841437929100838

Offset

1,2

Comments

This sequence convolved with A054765 prefaced with a 1: (1, 1, 3, 19, 160, ...) = (1, 3, 19, 160, ...), equivalent to row sums of triangle A155729 = A054765.

Links

Table of n, a(n) for n=1..19.

Formula

INVERTi transform of A054765 starting with offset 1: (1, 3, 19, 160, 1774, 23184, ...).

Example

We write (1, 3, 19, 160, ...) in reverse: (..., 19, 3, 1), top row.
Bottom row = (1, 2, ...), so that the format for a(3) = 14 becomes: ...3, 1 = A054765: (1, 3, 19, 160, ...). ..., 1, 2 for current format, take dot product = (3*1 + 1*2) = 5, then subtract from next term in A054765, getting (19 - 5) = 14. So a(3) = 14.
Continuing with analogous operations, we get (1, 2, 14, 121, 1383, ...).

Crossrefs

Cf. A054765, A155729.

Sequence in context: A361962 A192457 A351856 * A267906 A199560 A283184

Adjacent sequences: A155725 A155726 A155727 * A155729 A155730 A155731

Keyword

eigen,nonn

Author

Gary W. Adamson and Alexander R. Povolotsky, Jan 25 2009

Extensions

Corrected by R. J. Mathar, Apr 04 2012

More terms from Alois P. Heinz, Mar 31 2016

Status

approved