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 A132688 #11 Mar 14 2021 20:40:16 %S A132688 1,5,45,680,20475,1533939,350161812,280384608504,847073824772175, %T A132688 9894081531608130857,446730013630787463700695, %U A132688 77328499046923986969058944720,50891283683781760304442885961988100 %N A132688 a(n) = binomial(2^n + 3*n, n). %H A132688 G. C. Greubel, <a href="/A132688/b132688.txt">Table of n, a(n) for n = 0..50</a> %F A132688 a(n) = [x^n] 1/(1-x)^(2^n + 2*n + 1). %t A132688 Table[Binomial[2^n+3n,n],{n,0,20}] (* _Harvey P. Dale_, Oct 30 2018 *) %o A132688 (PARI) a(n)=binomial(2^n+3*n,n) %o A132688 (Sage) [binomial(2^n +3*n, n) for n in (0..20)] # _G. C. Greubel_, Mar 13 2021 %o A132688 (Magma) [Binomial(2^n +3*n, n): n in [0..20]]; // _G. C. Greubel_, Mar 13 2021 %Y A132688 Sequences of the form binomial(2^n +p*n +q, n): A136556 (0,-1), A014070 (0,0), A136505 (0,1), A136506 (0,2), A060690 (1,-1), A132683 (1,0), A132684 (1,1), A132685 (2,0), A132686 (2,1), A132687 (3,-1), this sequence (3,0), A132689 (3,1). %Y A132688 Cf. A136555. %K A132688 nonn %O A132688 0,2 %A A132688 _Paul D. Hanna_, Aug 26 2007