cp's OEIS Frontend

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.

A261421 Numerators of coefficients in Taylor series expansion of sqrt(m(x)) where m(x) is g.f. for Motzkin numbers A001006.

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%I A261421 #11 Oct 24 2022 15:12:00
%S A261421 1,1,7,25,427,1911,18051,87945,3518515,17943211,185961113,976288495,
%T A261421 20727407743,111039591475,1199227922235,6520801221225,570761912807235,
%U A261421 3139190488028595,34696316039725725,192564553799569875,4291438629174301605,23993043241870766505,269139354637637831685
%N A261421 Numerators of coefficients in Taylor series expansion of sqrt(m(x)) where m(x) is g.f. for Motzkin numbers A001006.
%e A261421 The coefficients are [1, 1/2, 7/8, 25/16, 427/128, 1911/256, 18051/1024, 87945/2048, 3518515/32768, 17943211/65536, 185961113/262144, 976288495/524288, 20727407743/4194304,  111039591475/8388608, 1199227922235/33554432, 6520801221225/67108864,  ...
%Y A261421 The denominators appear to be A046161. Cf. A001006.
%K A261421 sign,frac
%O A261421 0,3
%A A261421 _N. J. A. Sloane_, Aug 27 2015
%E A261421 Name corrected by Werner Schulte, Oct 24 2022