This site is supported by donations to The OEIS Foundation.

 Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing. Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A323054 Number of strict integer partitions of n with no 1's such that no part is a power of any other part. 5
 1, 0, 1, 1, 1, 2, 1, 3, 3, 4, 4, 6, 6, 8, 9, 12, 13, 16, 19, 21, 25, 30, 36, 40, 47, 53, 63, 71, 83, 94, 107, 121, 140, 159, 180, 204, 233, 260, 296, 334, 377, 421, 474, 532, 598, 668, 750, 835, 933, 1038, 1163, 1292, 1435, 1597, 1771, 1966, 2180, 2421, 2673 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,6 LINKS EXAMPLE The a(2) = 1 through a(13) = 8 strict integer partitions (A = 10, B = 11, C = 12, D = 13):   (2)  (3)  (4)  (5)   (6)  (7)   (8)   (9)   (A)    (B)    (C)    (D)                  (32)       (43)  (53)  (54)  (64)   (65)   (75)   (76)                             (52)  (62)  (63)  (73)   (74)   (84)   (85)                                         (72)  (532)  (83)   (A2)   (94)                                                      (92)   (543)  (A3)                                                      (632)  (732)  (B2)                                                                    (643)                                                                    (652) MATHEMATICA stableQ[u_, Q_]:=!Apply[Or, Outer[#1=!=#2&&Q[#1, #2]&, u, u, 1], {0, 1}]; Table[Length[Select[IntegerPartitions[n], And[FreeQ[#, 1], UnsameQ@@#, stableQ[#, IntegerQ[Log[#1, #2]]&]]&]], {n, 30}] CROSSREFS Cf. A001597, A007916, A025147, A052410, A078374, A087897, A120641, A275972, A303362, A323053, A323087, A323088. Sequence in context: A282611 A187498 A029137 * A027157 A112194 A238788 Adjacent sequences:  A323051 A323052 A323053 * A323055 A323056 A323057 KEYWORD nonn AUTHOR Gus Wiseman, Jan 04 2019 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 December 9 00:32 EST 2019. Contains 329871 sequences. (Running on oeis4.)