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A358545
a(n) is the smallest number with exactly n divisors that are centered square numbers.
4
1, 5, 25, 325, 1625, 1105, 5525, 27625, 160225, 1022125, 801125, 5928325, 8491925, 29641625, 42459625, 444215525, 314201225, 2003613625, 1571006125, 14826740825, 12882250225, 127081657625, 64411251125, 88717383625
OFFSET
1,2
COMMENTS
Any subsequent terms are > 10^10. - Lucas A. Brown, Dec 24 2022
EXAMPLE
a(3) = 25 because 25 has 3 centered square divisors {1, 5, 25} and this is the smallest such number.
PROG
(PARI) iscsq(n) = issquare(2*n-1); \\ A001844
a(n) = my(k=1); while (sumdiv(k, d, iscsq(d)) != n, k++); k; \\ Michel Marcus, Nov 21 2022
CROSSREFS
KEYWORD
nonn,more
AUTHOR
Ilya Gutkovskiy, Nov 21 2022
EXTENSIONS
a(12)-a(15) from Michel Marcus, Nov 21 2022
a(16) from Martin Ehrenstein, Dec 02 2022
a(17)-a(24) from Jinyuan Wang, Dec 02 2022
STATUS
approved