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A035311
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First column of the Zorach additive triangle A035312.
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9
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1, 2, 4, 7, 5, 8, 10, 14, 15, 19, 16, 20, 21, 22, 27, 30, 28, 33, 32, 38, 37, 39, 44, 45, 51, 46, 47, 54, 55, 52, 59, 62, 60, 64, 50, 67, 72, 78, 74, 68, 81, 82, 80, 85, 79, 87, 86, 91, 90, 94, 102, 98, 103, 99, 105, 100, 108, 112, 110, 113, 127, 128, 125, 133, 118, 123
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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LINKS
| Reinhard Zumkeller, Table of n, a(n) for n = 0..1000
A. C. Zorach, Additive triangle
Haskell programs for sequences in connection with Zorach additive triangle
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MATHEMATICA
| (* Assuming n <= t(n, 1) <= 3n *) uniqueQ[t1_, n_] := (t[n, 1] = t1; Do[t[n, k] = t[n, k-1] + t[n-1, k-1], {k, 2, n}]; n*(n+1)/2 == Length[ Union[ Flatten[ Table[ t[m, k], {m, 1, n}, {k, 1, m}]]]]); t[n_ , 1] := t[n, 1] = Select[ Complement[ Range[n, 3 n], Flatten[ Table[t[m, k], {m, 1, n - 1}, {k, 1, m}]]], uniqueQ[#, n] & , 1][[1]]; Table[t[n, 1], {n, 1, 66}](* From Jean-François Alcover, Dec 02 2011 *)
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PROG
| See link for Haskell program.
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CROSSREFS
| Cf. A035312, A035313, A189713, A035358.
Sequence in context: A011178 A136790 A073158 * A129980 A198137 A126786
Adjacent sequences: A035308 A035309 A035310 * A035312 A035313 A035314
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KEYWORD
| nonn,easy,nice
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AUTHOR
| Alexander C. Zorach (cazort(AT)udel.edu)
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EXTENSIONS
| More terms from Christian G. Bower (bowerc(AT)usa.net)
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