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 A138332 #6 Sep 08 2022 08:45:33 %S A138332 -64,640,-3456,13440,-42240,114048,-274560,604032,-1235520,2379520, %T A138332 -4356352,7637760,-12899328,21085440,-33488640,51845376,-78450240, %U A138332 116290944,-169206400,242070400,-341003520,473616000,-649284480,879465600,-1178049600 %N A138332 C(n+7, 7)*(n+4)*(-1)^(n+1)*16. %C A138332 Fifth column of the triangle defined in A123588, ninth column of the triangle defined in A123583. %H A138332 <a href="/index/Ch#Cheby">Index entries for sequences related to Chebyshev polynomials.</a> %F A138332 a(n) = coefficient of x^8 in the polynomial 1 - T_(n+4)(x)^2, where T_n(x) is the n-th Chebyshev polynomial of the first kind. %F A138332 G.f.: 64*(x-1)/(x+1)^9. %F A138332 a(n) = (-1)^(n+1)*64*A053347(n). %o A138332 (Magma) [ Binomial(n+7, 7)*(n+4)*(-1)^(n+1)*16: n in [0..24] ]; %o A138332 (Magma) k:=4; [ Coefficients(1-ChebyshevT(n+k)^2)[2*k+1]: n in [0..24] ]; %o A138332 (PARI) for(n=0,24,print1(polcoeff(taylor(64*(x-1)/(x+1)^9,x),n),",")); %Y A138332 Cf. A007318 (Pascal's triangle), A123588, A123583, A053347. %K A138332 sign %O A138332 0,1 %A A138332 _Klaus Brockhaus_, Mar 15 2008