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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: A278074 A075405 A365914 * 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 July 13 15:41 EDT 2024. Contains 374284 sequences. (Running on oeis4.)