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 A055410 Number of points in Z^4 of norm <= n. 4
 1, 9, 89, 425, 1281, 3121, 6577, 11833, 20185, 32633, 49689, 72465, 102353, 140945, 190121, 250553, 323721, 411913, 519025, 643441, 789905, 961721, 1156217, 1380729, 1638241, 1927297, 2257281, 2624417, 3035033, 3490601, 4000425 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS FORMULA a(n) = A046895(n^2). [Joerg Arndt, Apr 08 2013] PROG (C) int A055410(int i) {     const int ring = i*i;     int result = 0;     for(int a = -i; a <= i; a++)         for(int b = -i; b <= i; b++)             for(int c = -i; c <= i; c++)                 for(int d = -i; d <= i; d++)                     if ( ring >= a*a + b*b + c*c + d*d ) result++;     return result; } /* Oskar Wieland, Apr 08 2013 */ (PARI) N=66;  q='q+O('q^(N^2)); t=Vec((eta(q^2)^5/(eta(q)^2*eta(q^4)^2))^4/(1-q)); /* A046895 */ vector(sqrtint(#t), n, t[(n-1)^2+1]) /* Joerg Arndt, Apr 08 2013 */ CROSSREFS Cf. A046895 (sizes of successive clusters in Z^4 lattice). Sequence in context: A279166 A147884 A178369 * A214616 A175371 A291893 Adjacent sequences:  A055407 A055408 A055409 * A055411 A055412 A055413 KEYWORD nonn AUTHOR STATUS approved

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Last modified November 17 19:33 EST 2017. Contains 294834 sequences.