This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A136396 #21 Mar 28 2022 07:46:34
%S A136396 1,3,8,19,41,81,148,253,409,631,936,1343,1873,2549,3396,4441,5713,
%T A136396 7243,9064,11211,13721,16633,19988,23829,28201,33151,38728,44983,
%U A136396 51969,59741,68356,77873,88353,99859,112456,126211,141193,157473,175124,194221,214841,237063,260968,286639
%N A136396 a(n) = 1 + n*(n+1)*(n^2-n+12)/12.
%C A136396 Equals antidiagonal sums of the array A179000.
%H A136396 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (5,-10,10,-5,1).
%F A136396 A007318 * [1,2,3,2,0,0,0,...]: Binomial transform of [1, 2, 3, 3, 2, 0, 0, 0, ...].
%F A136396 Narayana transform of [1,2,1,0,0,0,...]: (A001263) * [1, 2, 1, 0, 0, 0, ...].
%F A136396 G.f.: ( -1+2*x-3*x^2+x^3-x^4 ) / (x-1)^5. - _R. J. Mathar_, Jan 05 2011
%e A136396 a(3) = 19 = (1, 3, 3, 1) dot (1, 2, 3, 3) = (1 + 6 + 9 + 3).
%e A136396 a(3) = 19 = (1, 6, 6, 1) dot (1, 2, 1, 0) = (1 + 12 + 6 + 0), where (1, 6, 6, 1) = row 4 of the Narayana triangle (A001263).
%p A136396 A136396 := proc(n) 1+n*(n+1)*(n^2-n+12)/12 ; end proc:
%t A136396 Table[1+n(n+1)(n^2-n+12)/12,{n,0,50}] (* or *) LinearRecurrence[{5,-10,10,-5,1},{1,3,8,19,41},50] (* _Harvey P. Dale_, Feb 06 2019 *)
%Y A136396 Cf. A001263, A007318, A179000.
%K A136396 nonn,easy
%O A136396 0,2
%A A136396 _Gary W. Adamson_, Dec 29 2007