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 A106728 Triangular array based on modulo ten addition of the primes under a modulo five, modulo four function. 0
 2, 3, 0, 1, 2, 0, 2, 3, 1, 2, 0, 1, 3, 0, 2, 1, 2, 0, 1, 3, 0, 0, 1, 3, 0, 2, 3, 2, 3, 0, 2, 3, 1, 2, 1, 0, 2, 3, 1, 2, 0, 1, 0, 3, 2, 3, 0, 2, 3, 1, 2, 1, 0, 3, 0, 1, 2, 0, 1, 3, 0, 3, 2, 1, 2, 0, 2, 3, 1, 2, 0, 1, 0, 3, 2, 3, 1, 2, 1, 2, 0, 1, 3, 0, 3, 2, 1, 2, 0, 1, 0, 0, 1, 3, 0, 2, 3, 2, 1, 0, 1, 3, 0, 3, 2 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS The object of these modulo functions is to form a group under Addition. Triangular form: {2} {3, 0} {1, 2, 0} {2, 3, 1, 2} {0, 1, 3, 0, 2} {1, 2, 0, 1, 3, 0} {0, 1, 3, 0, 2, 3, 2}. These can be translated back to modulo 10 by using the substitution: 0->9 1->1 2->7 3->3. LINKS FORMULA f(n)=10-Mod[Prime[n+3], 10] g[n]=Mod[Mod[n, 5], 4] h(n)=g(f(n)) a[n, m]=Mod[h(n)+h(m), 4] MATHEMATICA f[n_] = 10 - Mod[Prime[n + 3], 10] g[n_] = Mod[Mod[n, 5], 4] h[n_] = g[f[n]] digits = 20 a = Table[Table[Mod[h[n]+h[m], 4], {n, 1, m}], {m, 1, digits}]; MatrixForm[a] Flatten[a] CROSSREFS Sequence in context: A243081 A287847 A271369 * A292603 A276335 A189480 Adjacent sequences:  A106725 A106726 A106727 * A106729 A106730 A106731 KEYWORD nonn,tabl,uned AUTHOR Roger L. Bagula, May 14 2005 STATUS approved

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Last modified March 22 01:06 EDT 2019. Contains 321406 sequences. (Running on oeis4.)