This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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. The intersection of A000041 and A016825. LINKS Robert Israel, Table of n, a(n) for n = 1..500 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 Select[PartitionsP@ Range@ 160, Mod[#, 4] == 2 &] (* Michael De Vlieger, Nov 15 2016 *) 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 */ terms(50) \\ Felix FrÃ¶hlich, Nov 15 2016 CROSSREFS Cf. A000041, A016825, A213179, A237280. Sequence in context: A053962 A111771 A052001 * A085185 A166726 A156441 Adjacent sequences:  A275026 A275027 A275028 * A275030 A275031 A275032 KEYWORD nonn AUTHOR Colin Barker, Nov 13 2016 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified September 20 18:50 EDT 2019. Contains 327245 sequences. (Running on oeis4.)