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A075405 a(n)^2 is the square obtained in A075404 (or 0 if no such square exists). 4
70, 0, 5, 0, 0, 0, 92, 0, 106, 0, 2001863, 0, 652, 0, 679, 0, 138, 77, 0, 29, 724, 413, 0, 0, 182, 0, 253, 385, 0, 1612, 0, 8687, 0, 0, 0, 0, 0, 143, 0, 0, 0, 0, 0, 274, 0, 0, 0, 0, 0, 1281, 0, 1012, 0, 0, 121268, 0, 0, 56855, 0, 440, 0, 0, 0, 3069, 2725, 0, 655, 0, 0, 0, 0, 0, 1525, 4035066, 0, 430, 0, 0, 0, 0, 0, 0, 2619, 0, 0, 0, 795, 0, 0, 0, 3465, 0, 0, 0, 0, 0, 0, 0, 0, 0 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

REFERENCES

See A180244.

EXAMPLE

a(1) = 70 because 1^2+...+24^2 = a(1)^2 = 70^2.

MATHEMATICA

s[n_, k_]:=Module[{m=n+k-1}, (m(m+1)(2m+1)-n(n-1)(2n-1))/6]; mx=40000; Table[k=2; While[k<mx && !IntegerQ[Sqrt[s[n, k]]], k++]; If[k==mx, 0, Sqrt[s[n, k]]], {n, 100}]

CROSSREFS

Cf. A000330, A075404, A075406.

Sequence in context: A116099 A116238 A136114 * A177808 A036183 A184886

Adjacent sequences:  A075402 A075403 A075404 * A075406 A075407 A075408

KEYWORD

nonn

AUTHOR

Zak Seidov (zakseidov(AT)yahoo.com), Sep 13 2002

EXTENSIONS

Corrected and extended by Lior Manor (lior.manor(AT)gmail.com) Sep 19 2002

Corrected and edited by T. D. Noe (noe(AT)sspectra.com), Jan 21 2011

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Last modified February 14 08:23 EST 2012. Contains 205613 sequences.