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%I #7 Feb 08 2022 22:26:08
%S 1,6,26,96,321,876,2006,4026,7321,12346,19626,29756,43401,61296,84246,
%T 113126,148881,192526,245146,307896,382001,468756,569526,685746,
%U 818921,970626,1142506,1336276,1553721,1796696,2067126,2367006,2698401,3063446
%N Binomial transform of [1, 5, 15, 35, 70, 0, 0, 0, ...].
%C Conjecture: rightmost digit of terms is cyclic: (1, 6, 6, 6, ... repeat).
%F Binomial transform of [1, 5, 15, 35, 70, 0, 0, 0, ...] where (1, 5, 15, 35, 70) = row 4 of triangle A046899.
%F From _R. J. Mathar_, Jul 31 2008: (Start)
%F O.g.f.: (1 + x + 6x^2 + 16x^3 + 46x^4)/(1-x)^5.
%F a(n) = 46 - 200*n + 330*A000217(n) - 245*A000292(n) + 70*A000332(n+3). (End)
%F a(n) = (552 - 1190*n + 895*n^2 - 280*n^3 + 35*n^4)/12. - _T. D. Noe_, Aug 22 2008
%e a(4) = 96 = (1, 3, 3, 1) dot (1, 5, 15, 35) = (1 + 15 + 45 + 35).
%Y Cf. A046899.
%K nonn
%O 1,2
%A _Gary W. Adamson_, Jul 27 2008
%E More terms from _T. D. Noe_, Aug 22 2008
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