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A143333 Only odd and zero version of Pascal's triangle sequence: t(n,m)=Mod[Binomial[n, m], 2]*Binomial[n, m]. +0
1
1, 1, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 0, 0, 1, 1, 5, 0, 0, 5, 1, 1, 0, 15, 0, 15, 0, 1, 1, 7, 21, 35, 35, 21, 7, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 9, 0, 0, 0, 0, 0, 0, 9, 1, 1, 0, 45, 0, 0, 0, 0, 0, 45, 0, 1 (list; graph; listen)
OFFSET

1,8

COMMENT

Row sums are:{1, 2, 2, 8, 2, 12, 32, 128, 2, 20, 92}.

FORMULA

t(n,m)=Mod[Binomial[n, m], 2]*Binomial[n, m].

EXAMPLE

{1},

{1, 1},

{1, 0, 1},

{1, 3, 3, 1},

{1, 0, 0, 0, 1},

{1, 5, 0, 0, 5, 1},

{1, 0, 15, 0, 15, 0, 1},

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

{1, 0, 0, 0, 0, 0, 0, 0, 1},

{1, 9, 0, 0, 0, 0, 0, 0, 9, 1},

{1, 0, 45, 0, 0, 0, 0, 0, 45, 0, 1}

MATHEMATICA

t[n_, m_] = Mod[Binomial[n, m], 2]*Binomial[n, m]; Table[Table[t[n, m], {m, 0, n}], {n, 0, 10}]; Flatten[%]

CROSSREFS

Sequence in context: A122850 A132062 A065547 this_sequence A065551 A059441 A059790

Adjacent sequences: A143330 A143331 A143332 this_sequence A143334 A143335 A143336

KEYWORD

nonn,uned,probation

AUTHOR

Roger L. Bagula and Gary W. Adamson (rlbagulatftn(AT)yahoo.com), Oct 21 2008

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Last modified November 24 14:25 EST 2009. Contains 167438 sequences.


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