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 A337862 a(n) is the smallest number that can be partitioned into n ways as the sum of two Moran numbers. 0
 0, 36, 63, 174, 198, 306, 312, 399, 1176, 930, 1296, 1989, 1110, 888, 2190, 1896, 2688, 3990, 3630, 3090, 3696, 3810, 8316, 6870, 4710, 12420, 11340, 9180, 13350, 12990, 14070, 14364, 14970, 9900, 15444, 14790, 15012, 18570, 19980, 25164, 23610, 25092, 23790 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Table of n, a(n) for n=0..42. EXAMPLE 0 cannot be written as the sum of two Moran numbers because A001101(1) = 18, so 0 is a term and a(0) = 0. 36 = 18 + 18 = A001101(1) + A001101(1), so a(1) = 36. 63 = 18 + 27 = A001101(1) + A001101(5) and 63 = 21 + 42 = A001101(2) + A001101(4), so a(2) = 63. 174 = 18 + 156 = 21 + 153 = 63 + 111 and 18, 21, 63, 111, 153, 156 are in A001101, so a(3) = 174. 198 = 27 + 171 = 42 + 156 = 45 + 153 = 84 + 114 and 27, 42, 45, 84, 153, 156, 171 are in A001101, so a(4) = 198. MATHEMATICA m = 60000; morans = Select[Range[m], PrimeQ[#/Plus @@ IntegerDigits[#]] &]; mx = 43; s = Table[-1, {mx}]; n = 0; c = 0; While[c < mx && n <= m, If[(i = Length[IntegerPartitions[n, {2}, morans]] + 1) <= mx && s[[i]] == -1, c++; s[[i]] = n]; n++]; s (* Amiram Eldar, Oct 21 2020 *) PROG (Magma) a:=[]; moran:=func; v:={m:m in [1..40000]|moran(m)}; for n in [0..40] do k:=0; while #RestrictedPartitions(k, 2, v) ne n do k:=k+1; end while; Append(~a, k); end for; a; CROSSREFS Cf. A001101, A337854, A337861. Sequence in context: A039419 A043242 A044022 * A082295 A343293 A326666 Adjacent sequences: A337859 A337860 A337861 * A337863 A337864 A337865 KEYWORD nonn,base AUTHOR Marius A. Burtea, Oct 21 2020 STATUS approved

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Last modified June 18 08:27 EDT 2024. Contains 373472 sequences. (Running on oeis4.)