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A348161 Number of factorizations of (n,n) into one or two pairs (i,j) with i > 0, j > 0 (and if i=1 then j=1). 1
1, 1, 1, 3, 1, 5, 1, 5, 3, 5, 1, 13, 1, 5, 5, 9, 1, 13, 1, 13, 5, 5, 1, 25, 3, 5, 5, 13, 1, 25, 1, 13, 5, 5, 5, 33, 1, 5, 5, 25, 1, 25, 1, 13, 13, 5, 1, 41, 3, 13, 5, 13, 1, 25, 5, 25, 5, 5, 1, 61, 1, 5, 13, 19, 5, 25, 1, 13, 5, 25, 1, 61, 1, 5, 13, 13, 5, 25 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,4
LINKS
FORMULA
For n > 1, a(n) = ceiling((tau(n)-2)*tau(n)/2) + 1, where tau(n) = A000005(n).
EXAMPLE
(4,4) = (2,4)*(2,1) = (2,2)*(2,2), so a(4)=3.
CROSSREFS
Main diagonal of A348157.
Cf. A051707 (any number of pairs).
Sequence in context: A114567 A001051 A214737 * A334194 A046730 A002972
KEYWORD
nonn
AUTHOR
Sean A. Irvine, Oct 03 2021
STATUS
approved

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Last modified August 26 10:14 EDT 2024. Contains 375456 sequences. (Running on oeis4.)