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A094379
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Least number having exactly n representations as ab+ac+bc with 1 <= a <= b <= c.
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5
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1, 3, 11, 23, 35, 47, 59, 71, 95, 188, 119, 164, 231, 191, 215, 239, 299, 356, 335, 311, 404, 431, 591, 584, 524, 479, 551, 656, 831, 776, 671, 719, 791, 839, 1004, 1031, 959, 1244, 1196, 1439, 1271, 1151, 1931, 1847, 1391, 1319, 1811, 1784, 1616, 1511, 1799
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OFFSET
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0,2
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COMMENTS
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Note that the Mathematica program computes A094379, A094380 and A094381, but outputs only this sequence.
A066955(a(n)) = n and A066955(m) = n for m < a(n). [Reinhard Zumkeller, Mar 23 2012]
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REFERENCES
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See A025052
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LINKS
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Reinhard Zumkeller, Table of n, a(n) for n = 0..125
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EXAMPLE
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a(3) = 23 because 23 is the least number with 3 representations: (a,b,c) = (1,1,11), (1,2,7) and (1,3,5).
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MATHEMATICA
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cntMax=10; nSol=Table[{0, 0, 0}, {cntMax+1}]; Do[lim=Ceiling[(n-1)/2]; cnt=0; Do[If[n>a*b && Mod[n-a*b, a+b]==0 && Quotient[n-a*b, a+b]>=b, cnt++; If[cnt>cntMax, Break[]]], {a, 1, lim}, {b, a, lim}]; If[cnt<=cntMax, If[nSol[[cnt+1, 1]]==0, nSol[[cnt+1, 1]]=n]; nSol[[cnt+1, 2]]=n; nSol[[cnt+1, 3]]++; ], {n, 10000}]; Table[nSol[[i, 1]], {i, cntMax+1}]
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PROG
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(Haskell)
import Data.List (elemIndex)
import Data.Maybe (fromJust)
a094379 = (+ 1) . fromJust . (`elemIndex` a066955_list)
-- Reinhard Zumkeller, Mar 23 2012
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CROSSREFS
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Cf. A025052 (n having no representations), A093670 (n having one representation), A094380, A094381.
Sequence in context: A100860 A018630 A163780 * A072671 A320901 A119173
Adjacent sequences: A094376 A094377 A094378 * A094380 A094381 A094382
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KEYWORD
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nonn
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AUTHOR
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T. D. Noe, Apr 28 2004
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STATUS
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approved
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