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 A134377 #15 May 31 2025 06:48:25
%S A134377 1,3,10,32,101,315,975,3001,9199,28109,85680,260650,791663,2401313,
%T A134377 7275738,22024152,66615351,201349365,608227698,1836345996,5541690723,
%U A134377 16716767709,50408518791,151954553565,457926628077,1379630558935,4155518092780,12513892232666,37676692203405
%N A134377 Binomial transform of A045621.
%C A134377 Given A045621 starting (1, 2, 5, 10, 22, 44, 93, ...).
%C A134377 Note that this uses an incorrect offset of -1 with A045621. - _R. J. Mathar_, Apr 04 2012
%F A134377 A007318 * A045621, A045621 starting with 1.
%e A134377 a(4) = 32 = (1, 3, 3, 1) dot (1, 2, 5, 10) = (1 + 6 + 15 + 10).
%t A134377 s[n_] := 2^n - Binomial[n, Floor[n/2]]; Table[Sum[Binomial[n, k]*s[k + 1], {k, 0, n}], {n, 0, 28}] (* _Amiram Eldar_, May 31 2025 *)
%Y A134377 Cf. A007318, A045621.
%K A134377 nonn
%O A134377 1,2
%A A134377 _Gary W. Adamson_, Oct 22 2007
%E A134377 More terms from _Amiram Eldar_, May 31 2025