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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
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
Sequence in context: A278074 A075405 A365914 * A327024 A036183 A184886
KEYWORD
nonn,tabl
AUTHOR
Roger L. Bagula, Dec 13 2010
STATUS
approved

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Last modified July 13 15:41 EDT 2024. Contains 374284 sequences. (Running on oeis4.)