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A176700 Triangle T(n,m) = 2+A176697(n)-A176697(m)-A176697(n-m) read along rows 0<=m<=n. 1
1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 1, 14, 16, 14, 1, 1, 44, 55, 55, 44, 1, 1, 146, 187, 196, 187, 146, 1, 1, 504, 647, 686, 686, 647, 504, 1, 1, 1786, 2287, 2428, 2458, 2428, 2287, 1786, 1, 1, 6449, 8232, 8731, 8863, 8863, 8731, 8232, 6449, 1, 1, 23635, 30081, 31862, 32352 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

Row sums are 1, 2, 5, 12, 46, 200, 864, 3676, 15462, 64552, 268316,...

LINKS

Table of n, a(n) for n=0..59.

FORMULA

T(n,k) = T(n,n-k).

EXAMPLE

1;

1, 1;

1, 3, 1;

1, 5, 5, 1;

1, 14, 16, 14, 1;

1, 44, 55, 55, 44, 1;

1, 146, 187, 196, 187, 146, 1;

1, 504, 647, 686, 686, 647, 504, 1;

1, 1786, 2287, 2428, 2458, 2428, 2287, 1786, 1;

1, 6449, 8232, 8731, 8863, 8863, 8731, 8232, 6449, 1;

1, 23635, 30081, 31862, 32352, 32454, 32352, 31862, 30081, 23635, 1;

MAPLE

A176700 :=proc(n, k)

    2+A176697(n)-A176697(k)-A176697(n-k) ;

end proc: # R. J. Mathar, Jun 17 2015

MATHEMATICA

a[0] := 1; a[1] := 1; a[2]=3

a[n_] := a[n] = Table[a[i], {i, 0, n - 1}].Table[a[n - 1 - i], {i, 0, n - 1}];

t[n_, m_] := 2 + (-a[m] - a[n - m] + a[n]);

Table[Table[t[n, m], {m, 0, n}], {n, 0, 10}]

CROSSREFS

Cf. A176697.

Sequence in context: A125690 A176481 A108553 * A300539 A300966 A300923

Adjacent sequences:  A176697 A176698 A176699 * A176701 A176702 A176703

KEYWORD

nonn,tabl,easy

AUTHOR

Roger L. Bagula, Apr 24 2010

STATUS

approved

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Last modified October 22 06:54 EDT 2019. Contains 328315 sequences. (Running on oeis4.)