A297629 -id:A297629 - cp's OEIS frontend

A297628 Seidel's triangle generating A006846 read by rows, T(n,k) for n>=0 and 0<=k<=n.

1, 1, 1, 1, 2, 2, 1, 5, 7, 7, 1, 20, 34, 41, 41, 1, 137, 253, 335, 376, 376, 1, 1478, 2818, 3905, 4657, 5033, 5033, 1, 22925, 44371, 62999, 77722, 87788, 92821, 92821, 1, 481448, 939970, 1354121, 1705273, 1978703, 2164345, 2257166, 2257166

Offset: 0

Peter Luschny, Jan 02 2018

			Triangle starts:
0: [1]
1: [1,       1]
2: [1,       2,       2]
3: [1,       5,       7,        7]
4: [1,      20,      34,       41,       41]
5: [1,     137,     253,      335,      376,      376]
6: [1,    1478,    2818,     3905,     4657,     5033,     5033]
7: [1,   22925,   44371,    62999,    77722,    87788,    92821,    92821]
8: [1,  481448,  939970,  1354121,  1705273,  1978703,  2164345,  2257166,  2257166]

T(n,1) = A297629(n).
T(n,n) = A006846(n).
Row sums are A297630.

function  A297628Triangle(len::Int)
    A = fill(BigInt(0), len+1); A[1] = 1
    for n in 1:len
        for k in n:-1:2 A[k] += A[k+1] end
        for k in 2: 1:n A[k] += A[k-1] end
        println(A[1:n])
    end
end
println(A297628Triangle(9))

A297630 Row sums of A297628.

Original entry on oeis.org

1, 2, 5, 20, 137, 1478, 22925, 481448, 13138193, 451749962, 19104365333, 974417603132, 58981977530777, 4179837144348686, 342799255549127837, 32212592211380729168, 3438255899105307857441, 413670348773363088131474, 55722273751954119897519653

Offset: 0

Peter Luschny, Jan 02 2018

nonn

Apparently (apart from offset) the same as A297629, essentially column 1 of A297628 - R. J. Mathar, Jan 09 2018

Cf. A297628, A297629.

function A297630List(len::Int)
    R = Array{BigInt}(len)
    A = fill(BigInt(0), len+1); A[1] = 1
    for n in 1:len
        for k in n:-1:2 A[k] += A[k+1] end
        for k in 2: 1:n A[k] += A[k-1] end
        R[n] = sum(A[1:n])
    end
    return R
end
println(A297630List(19))

cp's OEIS Frontend

A297628 Seidel's triangle generating A006846 read by rows, T(n,k) for n>=0 and 0<=k<=n.

Views

Author

Keywords

Examples

Crossrefs

Programs

Julia