|
|
A275029
|
|
Partition numbers (A000041) congruent to 2 (mod 4).
|
|
7
|
|
|
2, 22, 30, 42, 490, 1002, 1958, 3010, 3718, 6842, 12310, 37338, 53174, 89134, 105558, 124754, 204226, 614154, 1741630, 2012558, 13848650, 34262962, 133230930, 214481126, 271248950, 607163746, 4835271870, 30388671978, 45060624582, 88751778802, 107438159466
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
Partition numbers having the same number of even divisors as odd divisors.
The corresponding indices are in A237280.
|
|
LINKS
|
|
|
EXAMPLE
|
30 is in the sequence because it is a partition number, and its divisors are [1,2,3,5,6,10,15,30].
|
|
MAPLE
|
select(t -> t mod 4 = 2, map(combinat:-numbpart, [$1..500])); # Robert Israel, Nov 14 2016
|
|
MATHEMATICA
|
|
|
PROG
|
(PARI) a000041(n) = numbpart(n)
terms(n) = my(i=0, k=2); while(1, if(Mod(a000041(k), 4)==2, print1(a000041(k), ", "); i++); if(i==n, break); k++)
/* Print initial 50 terms as follows */
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|