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A155997 Triangle read by rows: t0(n,m)=(Binomial[n, m] + (-1)^m*Binomial[n, m])/2; t(n,m)=t(n,m)+t0(n,n-m). 0
2, 1, 1, 2, 0, 2, 1, 3, 3, 1, 2, 0, 12, 0, 2, 1, 5, 10, 10, 5, 1, 2, 0, 30, 0, 30, 0, 2, 1, 7, 21, 35, 35, 21, 7, 1, 2, 0, 56, 0, 140, 0, 56, 0, 2, 1, 9, 36, 84, 126, 126, 84, 36, 9, 1, 2, 0, 90, 0, 420, 0, 420, 0, 90, 0, 2 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Row sums are:

{2, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024,...}

LINKS

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

FORMULA

t0(n,m)=(Binomial[n, m] + (-1)^m*Binomial[n, m])/2;

t(n,m)=t(n,m)+t0(n,n-m).

EXAMPLE

{2},

{1, 1},

{2, 0, 2},

{1, 3, 3, 1},

{2, 0, 12, 0, 2},

{1, 5, 10, 10, 5, 1},

{2, 0, 30, 0, 30, 0, 2},

{1, 7, 21, 35, 35, 21, 7, 1},

{2, 0, 56, 0, 140, 0, 56, 0, 2},

{1, 9, 36, 84, 126, 126, 84, 36, 9, 1},

{2, 0, 90, 0, 420, 0, 420, 0, 90, 0, 2}

MATHEMATICA

Clear[t, n, m];

t[n_, m_] = (Binomial[n, m] + (-1)^m*Binomial[n, m])/2;

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

Flatten[%]

CROSSREFS

Sequence in context: A194529 A055138 A177717 * A326171 A123223 A088226

Adjacent sequences:  A155994 A155995 A155996 * A155998 A155999 A156000

KEYWORD

nonn,tabl,uned

AUTHOR

Roger L. Bagula, Feb 01 2009

STATUS

approved

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Last modified October 23 23:51 EDT 2019. Contains 328379 sequences. (Running on oeis4.)