This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A341446 #17 Mar 07 2021 19:05:04
%S A341446 2,5,6,11,14,17,18,23,26,31,35,38,41,42,47,54,58,59,65,67,73,74,78,83,
%T A341446 86,95,97,98,103,106,109,114,122,126,127,137,142,143,145,149,157,158,
%U A341446 162,167,174,178,179,182,185,191,197,202,209,211,214,215,222,226
%N A341446 Heinz numbers of integer partitions whose only odd part is the smallest.
%C A341446 The Heinz number of a partition (y_1,...,y_k) is prime(y_1)*...*prime(y_k), so these are numbers whose only odd prime index (counting multiplicity) is the smallest.
%F A341446 Also numbers n > 1 such that A055396(n) is odd and A032742(n) belongs to A066207.
%e A341446 The sequence of partitions together with their Heinz numbers begins:
%e A341446 2: (1) 54: (2,2,2,1) 109: (29)
%e A341446 5: (3) 58: (10,1) 114: (8,2,1)
%e A341446 6: (2,1) 59: (17) 122: (18,1)
%e A341446 11: (5) 65: (6,3) 126: (4,2,2,1)
%e A341446 14: (4,1) 67: (19) 127: (31)
%e A341446 17: (7) 73: (21) 137: (33)
%e A341446 18: (2,2,1) 74: (12,1) 142: (20,1)
%e A341446 23: (9) 78: (6,2,1) 143: (6,5)
%e A341446 26: (6,1) 83: (23) 145: (10,3)
%e A341446 31: (11) 86: (14,1) 149: (35)
%e A341446 35: (4,3) 95: (8,3) 157: (37)
%e A341446 38: (8,1) 97: (25) 158: (22,1)
%e A341446 41: (13) 98: (4,4,1) 162: (2,2,2,2,1)
%e A341446 42: (4,2,1) 103: (27) 167: (39)
%e A341446 47: (15) 106: (16,1) 174: (10,2,1)
%t A341446 primeMS[n_]:=If[n==1,{},Flatten[Cases[FactorInteger[n],{p_,k_}:>Table[PrimePi[p],{k}]]]];
%t A341446 Select[Range[2,100],OddQ[First[primeMS[#]]]&&And@@EvenQ[Rest[primeMS[#]]]&]
%Y A341446 These partitions are counted by A035363 (shifted left once).
%Y A341446 Terms of A340932 can be factored into elements of this sequence.
%Y A341446 The even version is A341447.
%Y A341446 A001222 counts prime factors.
%Y A341446 A005408 lists odd numbers.
%Y A341446 A026804 counts partitions whose smallest part is odd.
%Y A341446 A027193 counts odd-length partitions, ranked by A026424.
%Y A341446 A031368 lists odd-indexed primes.
%Y A341446 A032742 selects largest proper divisor.
%Y A341446 A055396 selects smallest prime index.
%Y A341446 A056239 adds up prime indices.
%Y A341446 A058695 counts partitions of odd numbers, ranked by A300063.
%Y A341446 A061395 selects largest prime index.
%Y A341446 A066207 lists numbers with all even prime indices.
%Y A341446 A066208 lists numbers with all odd prime indices.
%Y A341446 A112798 lists the prime indices of each positive integer.
%Y A341446 A244991 lists numbers whose greatest prime index is odd.
%Y A341446 A340932 lists numbers whose smallest prime index is odd.
%Y A341446 Cf. A006141, A160786, A257991, A257992, A300272, A340604, A340607, A340854/A340855, A340933.
%K A341446 nonn
%O A341446 1,1
%A A341446 _Gus Wiseman_, Feb 12 2021