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A182630 T(n,k) = A002024(k+1)*n + A002262(k), n >= 0, k >= 0, read by antidiagonals. 5
0, 1, 0, 2, 2, 1, 3, 4, 3, 0, 4, 6, 5, 3, 1, 5, 8, 7, 6, 4, 2, 6, 10, 9, 9, 7, 5, 0, 7, 12, 11, 12, 10, 8, 4, 1, 8, 14, 13, 15, 13, 11, 8, 5, 2, 9, 16, 15, 18, 16, 14, 12, 9, 6, 3, 10, 18, 17, 21, 19, 17, 16, 13, 10, 7, 0 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

A table of congruences.

See A182631 for another version.

LINKS

Table of n, a(n) for n=0..65.

EXAMPLE

Table of congruences:

===============+====+=======+==========+=============+====

           mod |  1 |   2   |     3    |      4      | ...

===============+====+=======+==========+=============+====

  congruent to |  0 |  0  1 |  0  1  2 |  0  1  2  3 | ...

===============+====+=======+==========+=============+====

Array begins:  |  0 |  0  1 |  0  1  2 |  0  1  2  3 | ...

               |  1 |  2  3 |  3  4  5 |  4  5  6  7 | ...

               |  2 |  4  5 |  6  7  8 |  8  9 10 11 | ...

               |  3 |  6  7 |  9 10 11 | 12 13 14 15 | ...

               |  4 |  8  9 | 12 13 14 | 16 17 18 19 | ...

               |  5 | 10 11 | 15 16 17 | 20 21 22 23 | ...

               |  6 | 12 13 | 18 19 20 | 24 25 26 27 | ...

               |  7 | 14 15 | 21 22 23 | 28 29 30 31 | ...

               |  8 | 16 17 | 24 25 26 | 32 33 34 35 | ...

               |  9 | 18 19 | 27 28 29 | 36 37 38 39 | ...

               | 10 | 20 21 | 30 31 32 | 40 41 42 43 | ...

MAPLE

A002262 := proc(n) n-binomial(floor(1/2+sqrt(2+2*n)), 2) ; end proc:

A002024 := proc(n) ceil((sqrt(1+8*n)-1)/2) ; end proc:

A182630 := proc(n, k) A002024(k+1)*n+A002262(k) ; end proc: # R. J. Mathar, Dec 09 2010

CROSSREFS

Columns: A001477, A005483, A005408, A008585, A016777, A016789, A008586, A016813, A016825, A004767.

Rows: A002262, A094727, A182815.

Cf. A182631.

Sequence in context: A186711 A061987 A323899 * A208805 A208514 A179901

Adjacent sequences:  A182627 A182628 A182629 * A182631 A182632 A182633

KEYWORD

nonn,tabl,easy

AUTHOR

Omar E. Pol, Dec 06 2010

STATUS

approved

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Last modified April 13 03:43 EDT 2021. Contains 342934 sequences. (Running on oeis4.)