A326717 - OEIS

%I #5 Jul 21 2019 09:13:52

%S 1,0,1,0,127,126,0,255256,381381,126126,0,2979852651,5447453786,

%T 2956465512,488864376,0,127156445503275,264284637872750,

%U 184292523727620,52359004217520,5194672859376

%N Coefficients of polynomials related to ordered set partitions. Triangle read by rows, T_{m}(n, k) for m = 5 and 0 <= k <= n.

%F T(n, k) = T_{5}(n, k) where T_{m}(n, k) is defined in A326477.

%e Triangle starts:

%e [0] [1]

%e [1] [0, 1]

%e [2] [0, 127, 126]

%e [3] [0, 255256, 381381, 126126]

%e [4] [0, 2979852651, 5447453786, 2956465512, 488864376]

%e [5] [0, 127156445503275, 264284637872750, 184292523727620, 52359004217520, 5194672859376]

%e [6] [0, 15160169962750251082, 34544220081315967665, 28276496764200664980, 10634436034307385300, 1865368063755476280, 123378675083039376]

%p # See A326477.

%Y Row sums A243666. Main diagonal A025037.

%Y A129062 (m=1, associated with A131689), A326477 (m=2, associated with A241171), A326587 (m=3, associated with A278073), A326585 (m=4, associated with A278074), this sequence (m=5).

%K nonn,tabl

%O 0,5

%A _Peter Luschny_, Jul 21 2019