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%I #12 Aug 03 2023 18:24:54
%S 1,1,15,57,571,919,1531,2313,193107,923755,3870833,-2470257,
%T -146827409,-230596717,2290003475,13080152617,253889113987,
%U -1578843080909,-15542657972939,-10764297242445,612468847320021,2467732201838601,847831210033293,-57573918082836705
%N Numerators of coefficients in Taylor series expansion of sqrt( 1 + Sum_{k>=1} k^2*x^k ).
%e The coefficients are 1, 1/2, 15/8, 57/16, 571/128, 919/256, 1531/1024, 2313/2048, 193107/32768, 923755/65536, 3870833/262144, -2470257/524288, -146827409/4194304, -230596717/8388608, 2290003475/33554432, 13080152617/67108864, 253889113987/2147483648, ... [corrected by _Ilya Gutkovskiy_, Aug 03 2023]
%Y The denominators appear to be A046161.
%K sign,frac
%O 0,3
%A _N. J. A. Sloane_, Aug 27 2015
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