Number of partitions of n in which the sequence of the sum of the same summands is increasing.

Terms

a(0) =1a(1) =1a(2) =2a(3) =3a(4) =4a(5) =6a(6) =9a(7) =11a(8) =14a(9) =20a(10) =26a(11) =33a(12) =41a(13) =50a(14) =64a(15) =81a(16) =97a(17) =120a(18) =150a(19) =176a(20) =210a(21) =255a(22) =303a(23) =362a(24) =426a(25) =503a(26) =595a(27) =703a(28) =816a(29) =953