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A177808 Triangle T(n,m) = binomial(4*n, 4*m), 0 <= m <= n, read by rows. 4
1, 1, 1, 1, 70, 1, 1, 495, 495, 1, 1, 1820, 12870, 1820, 1, 1, 4845, 125970, 125970, 4845, 1, 1, 10626, 735471, 2704156, 735471, 10626, 1, 1, 20475, 3108105, 30421755, 30421755, 3108105, 20475, 1, 1, 35960, 10518300, 225792840, 601080390, 225792840, 10518300, 35960, 1, 1, 58905, 30260340, 1251677700, 7307872110, 7307872110, 1251677700, 30260340, 58905, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

Row sums are A070775(n).

LINKS

Table of n, a(n) for n=0..54.

FORMULA

Right-left symmetric: T(n,m) = T(n,n-m).

EXAMPLE

1;

1, 1;

1, 70, 1;

1, 495, 495, 1;

1, 1820, 12870, 1820, 1;

1, 4845, 125970, 125970, 4845, 1;

1, 10626, 735471, 2704156, 735471, 10626, 1;

1, 20475, 3108105, 30421755, 30421755, 3108105, 20475, 1;

1, 35960, 10518300, 225792840, 601080390, 225792840, 10518300, 35960, 1;

1, 58905, 30260340, 1251677700, 7307872110, 7307872110, 1251677700,30260340, 58905, 1;

1, 91390, 76904685, 5586853480, 62852101650, 137846528820, 62852101650, 5586853480, 76904685, 91390, 1;

MAPLE

A177808 := proc(n, m) binomial(4*n, 4*m) ; end proc: # R. J. Mathar, Dec 13 2010

MATHEMATICA

t[n_, m_] = Binomial[n, 4*m];

Table[Table[t[n, m], {m, 0, Floor[n/4]}], {n, 0, 40, 4}];

Flatten[%]

CROSSREFS

Cf. A086645, A034839, A070775.

Sequence in context: A136114 A278074 A075405 * A327024 A036183 A184886

Adjacent sequences:  A177805 A177806 A177807 * A177809 A177810 A177811

KEYWORD

nonn,tabl

AUTHOR

Roger L. Bagula, Dec 13 2010

STATUS

approved

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Last modified October 1 02:06 EDT 2022. Contains 357134 sequences. (Running on oeis4.)