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A055411
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Number of points in Z^5 of norm <= n.
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6
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1, 11, 221, 1343, 5913, 16875, 42205, 89527, 176377, 313259, 532509, 853399, 1322921, 1961211, 2846933, 4005143, 5554265, 7491355, 9977557, 13065527, 16907817, 21524019, 27179909, 33921671, 42036401, 51452803, 62664773
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) = [x^(n^2)] theta_3(x)^5/(1 - x), where theta_3() is the Jacobi theta function. - Ilya Gutkovskiy, Apr 14 2018
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MATHEMATICA
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t[d_, n_] := t[d, n] = t[d, n - 1] + SquaresR[d, n]; t[d_, 0] = 1;
a[n_] := t[5, n^2];
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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