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 A097297 #14 May 02 2025 10:31:36 %S A097297 6,37,133,364,840,1722,3234,5676,9438,15015,23023,34216,49504,69972, %T A097297 96900,131784,176358,232617,302841,389620,495880,624910,780390,966420, %U A097297 1187550,1448811,1755747,2114448,2531584,3014440,3570952,4209744 %N A097297 Seventh column (m=6) of (1,6)-Pascal triangle A096956. %H A097297 Paolo Xausa, <a href="/A097297/b097297.txt">Table of n, a(n) for n = 0..10000</a> %H A097297 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (7,-21,35,-35,21,-7,1). %F A097297 a(n) = A096956(n+6, 6) = 6*b(n) - 5*b(n-1) = (n+36)*binomial(n+5, 5)/6, with b(n) = A000579(n+6) = binomial(n+6, 6). %F A097297 G.f.: (6-5*x)/(1-x)^7. %t A097297 A097297[n_] := (n + 36)*Binomial[n + 5, 5]/6; %t A097297 Array[A097297, 50, 0] (* _Paolo Xausa_, May 02 2025 *) %Y A097297 Cf. A000579, A096956. %Y A097297 Cf. other columns: A096957 (m = 3), A096958 (m = 4), A096959 (m = 5), A097298 (m = 7), A097299 (m = 8), A097300 (m = 9). %K A097297 nonn,easy %O A097297 0,1 %A A097297 _Wolfdieter Lang_, Aug 13 2004