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A086329 Triangle T(n,k) read by rows, given by [0, 1, 0, 1, 0, 1, 0, 1, 0, 1, ...] DELTA [1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 0, 7, ...] where DELTA is the operator defined in A084938. 3
1, 0, 1, 0, 1, 1, 0, 1, 4, 1, 0, 1, 9, 11, 1, 0, 1, 16, 48, 26, 1, 0, 1, 25, 140, 202, 57, 1, 0, 1, 36, 325, 916, 747, 120, 1, 0, 1, 49, 651, 3045, 5071, 2559, 247, 1, 0, 1, 64, 1176, 8260, 23480, 25300, 8362, 502, 1, 0, 1, 81, 1968, 19404, 84456, 159736, 117962, 26520 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,9

COMMENTS

See A087903 for another version (transposed). - Philippe Deléham, Jun 13 2004

LINKS

Table of n, a(n) for n=0..63.

FORMULA

Sum_{k=0..n} T(n, k) = A086211(n, 0). T(n, 1) = 1; n > 0. T(n, 2) = (n-1)^2; n > 0. T(k+1, k) = 2^(k+1) - k - 2 = A000295(k+1).

Sum_{k=0..n} T(n, k) = A074664(n+1). - Philippe Deléham, Jun 13 2004

Sum_{k=0..n} T(n,k)*2^k = A171151(n). - Philippe Deléham, Dec 05 2009

EXAMPLE

Triangle begins:

  1;

  0, 1;

  0, 1,  1;

  0, 1,  4,    1;

  0, 1,  9,   11,    1;

  0, 1, 16,   48,   26,     1;

  0, 1, 25,  140,  202,    57,     1;

  0, 1, 36,  325,  916,   747,   120,    1;

  0, 1, 49,  651, 3045,  5071,  2559,  247,   1;

  0, 1, 64, 1176, 8260, 23480, 25300, 8362, 502, 1; ...

CROSSREFS

Cf. A000290, A000295, A086211.

Sequence in context: A292159 A099793 A273895 * A294118 A318996 A294490

Adjacent sequences:  A086326 A086327 A086328 * A086330 A086331 A086332

KEYWORD

easy,nonn,tabl

AUTHOR

Philippe Deléham, Aug 30 2003, Jun 12 2007

STATUS

approved

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Last modified August 3 20:08 EDT 2020. Contains 336201 sequences. (Running on oeis4.)