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A157873 Triangle T(n,m)= binomial(n,2^m) + binomial(n,2^(n - m)) read by rows. 0
0, 1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 6, 2, 6, 4, 5, 10, 5, 5, 10, 5, 6, 15, 15, 0, 15, 15, 6, 7, 21, 35, 0, 0, 35, 21, 7, 8, 28, 70, 1, 0, 1, 70, 28, 8, 9, 36, 126, 9, 0, 0, 9, 126, 36, 9, 10, 45, 210, 45, 0, 0, 0, 45, 210, 45, 10 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

Row sums are {0, 2, 6, 12, 22, 40, 72, 126, 214, 360, 620,...}.

LINKS

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

FORMULA

T(n,m)=binomial(n, 2^m) + binomial(n, 2^(n - m)) = T(n,n-m).

EXAMPLE

{0},

{1, 1},

{2, 2, 2},

{3, 3, 3, 3},

{4, 6, 2, 6, 4},

{5, 10, 5, 5, 10, 5},

{6, 15, 15, 0, 15, 15, 6},

{7, 21, 35, 0, 0, 35, 21, 7},

{8, 28, 70, 1, 0, 1, 70, 28, 8},

{9, 36, 126, 9, 0, 0, 9, 126, 36, 9},

{10, 45, 210, 45, 0, 0, 0, 45, 210, 45, 10}

MATHEMATICA

t[n_, m_] = Binomial[n, 2^m] + Binomial[n, 2^(n - m)];

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

Flatten[%]

CROSSREFS

Sequence in context: A216672 A104055 A216200 * A022870 A237050 A235130

Adjacent sequences:  A157870 A157871 A157872 * A157874 A157875 A157876

KEYWORD

nonn,tabl

AUTHOR

Roger L. Bagula, Mar 08 2009

EXTENSIONS

Edited by the Associate Editors of the OEIS, Apr 10 2009

STATUS

approved

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Last modified September 18 17:45 EDT 2019. Contains 327178 sequences. (Running on oeis4.)