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A117875 Triangle a(n,m) = (A000045(m) mod 3)+ (A000045(n) mod 7) read by rows. 0
0, 1, 2, 1, 2, 2, 2, 3, 3, 4, 3, 4, 4, 5, 3, 5, 6, 6, 7, 5, 7, 1, 2, 2, 3, 1, 3, 3, 6, 7, 7, 8, 6, 8, 8, 7, 0, 1, 1, 2, 0, 2, 2, 1, 0, 6, 7, 7, 8, 6, 8, 8, 7, 6, 7, 6, 7, 7, 8, 6, 8, 8, 7, 6, 7, 7, 5, 6, 6, 7, 5, 7, 7, 6, 5, 6, 6, 7, 4, 5, 5, 6, 4, 6, 6, 5, 4, 5, 5, 6, 4, 2, 3, 3, 4, 2, 4, 4, 3, 2, 3, 3, 4, 2, 4 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..104.

FORMULA

a(n,m) = A082115(m) + A105870(n).

EXAMPLE

The triangle starts in row n=0 as:

0;

1, 2;

1, 2, 2;

2, 3, 3, 4;

3, 4, 4, 5, 3;

5, 6, 6, 7, 5, 7;

1, 2, 2, 3, 1, 3, 3;

6, 7, 7, 8, 6, 8, 8, 7;

0, 1, 1, 2, 0, 2, 2, 1, 0;

6, 7, 7, 8, 6, 8, 8, 7, 6, 7;

6, 7, 7, 8, 6, 8, 8, 7, 6, 7, 7;

MATHEMATICA

a[0] = 0; a[1] = 1; a[n_] := a[n] = a[n - 1] + a[n - 2] f[n_, m_] := Mod[a[n], 3] + Mod[a[m], 7] aout = Table[Table[f[n, m], {n, 0, m}], {m, 0, 10}] c = Flatten[aout]

CROSSREFS

Cf. A000045.

Sequence in context: A070096 A319821 A024154 * A084840 A029278 A125950

Adjacent sequences:  A117872 A117873 A117874 * A117876 A117877 A117878

KEYWORD

nonn,easy,tabl

AUTHOR

Roger L. Bagula, May 13 2006

EXTENSIONS

Fuzzy comments removed, formula added, row and column indices disentangled by Assoc. Eds. of the OEIS - Jun 15 2010

STATUS

approved

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Last modified July 12 06:21 EDT 2020. Contains 335658 sequences. (Running on oeis4.)