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%I #14 Feb 09 2022 09:04:06
%S 1,2,14,121,1383,19108,309708,5751027,120357325,2803145494,
%T 71926499002,2016492639229,61338391284387,2012321446421976,
%U 70833707268623448,2663117961930477847,106515148705020928105,4516063573152118802282,202328834841437929100838
%N INVERTi transform of A054765: (1, 3, 19, 160, 1744, ...).
%C 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.
%F INVERTi transform of A054765 starting with offset 1: (1, 3, 19, 160, 1774, 23184, ...).
%e We write (1, 3, 19, 160, ...) in reverse: (..., 19, 3, 1), top row.
%e 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.
%e Continuing with analogous operations, we get (1, 2, 14, 121, 1383, ...).
%Y Cf. A054765, A155729.
%K eigen,nonn
%O 1,2
%A _Gary W. Adamson_ and _Alexander R. Povolotsky_, Jan 25 2009
%E Corrected by _R. J. Mathar_, Apr 04 2012
%E More terms from _Alois P. Heinz_, Mar 31 2016
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