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A352550
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a(n) = number of modules with n elements over the ring of integers in the real quadratic field of discriminant 5.
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21
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1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 3, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2
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OFFSET
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1,11
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LINKS
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PROG
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(PARI) \\ Don Zagier, Mar 18 2022
PZ(D, m=20) = Z=dirmul(vector(m, n, 1), vD=vector(m, n, kronecker(D, n))); v=Z; \
for(j=2, log(m)/log(2), V=v*0; for(k=1, m^(1/j), V[k^j]=Z[k]); v=dirmul(v, V)); v
PZ(5, 100)
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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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