A352567 - OEIS

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A352567

a(n) = number of modules with n elements over the ring of integers in the imaginary quadratic field of discriminant -19.

20

1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 5, 0, 0, 2, 0, 0, 0, 0, 0, 0, 4, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 5, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 2, 0, 2, 3, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 4, 0, 0, 4, 2, 0, 2, 0, 4, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0

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OFFSET

1,5

COMMENTS

See A352550 for comments and PARI code.

LINKS

Andrew Howroyd, Table of n, a(n) for n = 1..10000

R. Israel and D. Craddock, Are these sequences multiplicative?, Mathematics StackExchange, Oct 2025

CROSSREFS

Cf. A038540, A038541, A248107, A352550-A352566.

Sequence in context: A039974 A039973 A035171 * A088700 A287121 A035446

Adjacent sequences: A352564 A352565 A352566 * A352568 A352569 A352570

KEYWORD

nonn,mult

AUTHOR

N. J. A. Sloane, Mar 21 2022

STATUS

approved