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 A302771 If there is Gaussian integer z such that the norm of z is n, a(n) is the absolute value of Product_{the norm of z is n} z. Otherwise a(n) = 0. 1
 0, 1, 4, 0, 16, 625, 0, 0, 64, 81, 10000, 0, 0, 28561, 0, 0, 256, 83521, 324, 0, 160000, 0, 0, 0, 0, 244140625, 456976, 0, 0, 707281, 0, 0, 1024, 0, 1336336, 0, 1296, 1874161, 0, 0, 2560000, 2825761, 0, 0, 0, 4100625, 0, 0, 0, 2401, 15625000000, 0, 7311616, 7890481, 0, 0 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Seiichi Manyama, Table of n, a(n) for n = 0..10000 FORMULA If A004018(n) > 0, a(n) = n^(A004018(n)/2). Otherwise a(n) = 0. EXAMPLE The Gaussian integers whose norm is 5; * * -1+2i, 1+2i * * -2+i, 2+i ------------- * * -2-i, 2-i * * -1-2i, 1-2i a(5) = (2+i)*(2-i)*(1+2i)*(1-2i)*(-1+2i)*(-1-2i)*(-2+i)*(-2-i) = 625. CROSSREFS Cf. A004018. Sequence in context: A137279 A343473 A233807 * A167350 A215669 A244310 Adjacent sequences: A302768 A302769 A302770 * A302772 A302773 A302774 KEYWORD nonn AUTHOR Seiichi Manyama, Apr 13 2018 STATUS approved

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Last modified July 20 02:46 EDT 2024. Contains 374441 sequences. (Running on oeis4.)