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 A097298 #11 May 02 2025 10:31:50 %S A097298 6,43,176,540,1380,3102,6336,12012,21450,36465,59488,93704,143208, %T A097298 213180,310080,441864,618222,850839,1153680,1543300,2039180,2664090, %U A097298 3444480,4410900,5598450,7047261,8803008,10917456,13449040,16463480 %N A097298 Eighth column (m=7) of (1,6)-Pascal triangle A096956. %H A097298 Paolo Xausa, <a href="/A097298/b097298.txt">Table of n, a(n) for n = 0..10000</a> %H A097298 <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (8,-28,56,-70,56,-28,8,-1). %F A097298 a(n) = A096956(n+7, 7) = 6*b(n) - 5*b(n-1) = (n+42)*binomial(n+6, 6)/7, with b(n) = A000580(n+7) = binomial(n+7, 7). %F A097298 G.f.: (6-5*x)/(1-x)^8. %t A097298 A097298[n_] := (n + 42)*Binomial[n + 6, 6]/7; %t A097298 Array[A097298, 50, 0] (* _Paolo Xausa_, May 02 2025 *) %Y A097298 Cf. A000580, A096956. %Y A097298 Cf. other columns: A096957 (m = 3), A096958 (m = 4), A096959 (m = 5), A097297 (m = 6), A097299 (m = 8), A097300 (m = 9). %K A097298 nonn,easy %O A097298 0,1 %A A097298 _Wolfdieter Lang_, Aug 13 2004