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 A325094 Write n as a sum of distinct powers of 2, then take the primes of those powers of 2 and multiply them together. 8
 1, 2, 3, 6, 7, 14, 21, 42, 19, 38, 57, 114, 133, 266, 399, 798, 53, 106, 159, 318, 371, 742, 1113, 2226, 1007, 2014, 3021, 6042, 7049, 14098, 21147, 42294, 131, 262, 393, 786, 917, 1834, 2751, 5502, 2489, 4978, 7467, 14934, 17423, 34846, 52269, 104538, 6943 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS The sorted sequence is A325093. For example, 11 = 1 + 2 + 8, so a(11) = prime(1) * prime(2) * prime(8) = 114. LINKS Robert Israel, Table of n, a(n) for n = 0..10000 EXAMPLE The sequence of terms together with their prime indices begins: 1: {} 2: {1} 3: {2} 6: {1,2} 7: {4} 14: {1,4} 21: {2,4} 42: {1,2,4} 19: {8} 38: {1,8} 57: {2,8} 114: {1,2,8} 133: {4,8} 266: {1,4,8} 399: {2,4,8} 798: {1,2,4,8} 53: {16} 106: {1,16} 159: {2,16} 318: {1,2,16} 371: {4,16} MAPLE P:= [seq(ithprime(2^i), i=0..10)]: f:= proc(n) local L, i; L:= convert(n, base, 2); mul(P[i]^L[i], i=1..nops(L)) end proc: map(f, [\$0..100]); # Robert Israel, Mar 28 2019 MATHEMATICA Table[Times@@MapIndexed[If[#1==0, 1, Prime[2^(#2[[1]]-1)]]&, Reverse[IntegerDigits[n, 2]]], {n, 0, 100}] CROSSREFS Cf. A000720, A001222, A005117, A018819, A019565, A033844, A056239, A102378, A112798, A247935, A318400. Cf. A325091, A325092, A325093, A325106. Sequence in context: A349756 A018748 A018258 * A191614 A018379 A245479 Adjacent sequences: A325091 A325092 A325093 * A325095 A325096 A325097 KEYWORD nonn,look AUTHOR Gus Wiseman, Mar 27 2019 STATUS approved

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Last modified May 21 17:21 EDT 2024. Contains 372738 sequences. (Running on oeis4.)