A141660 Triangle read by rows: T(n,k) = 2^k*A123125(n,k).

1, 0, 2, 0, 2, 4, 0, 2, 16, 8, 0, 2, 44, 88, 16, 0, 2, 104, 528, 416, 32, 0, 2, 228, 2416, 4832, 1824, 64, 0, 2, 480, 9528, 38656, 38112, 7680, 128, 0, 2, 988, 34344, 249904, 499808, 274752, 31616, 256, 0, 2, 2008, 116864, 1411744, 4998080, 5646976, 1869824

Offset

1,3

Comments

Triangle T(n,k), 0 <= k <= n, read by rows given by [0,1,0,2,0,3,0,4,0,5,0,6,...] DELTA [2,0,4,0,6,0,8,0,10,0,...] where DELTA is the operator defined in A084938. - Philippe Deléham, Sep 15 2008

Links

Table of n, a(n) for n=1..53.

Formula

T(n,k) = 2^k*A123125(n,k). - Philippe Deléham, Sep 15 2008

Sum_{k=0..n} T(n,k) = A000629(n). - Philippe Deléham, Nov 19 2011

Example

{1},
{0, 2},
{0, 2, 4},
{0, 2, 16, 8},
{0, 2, 44, 88, 16},
{0, 2, 104, 528, 416, 32},
{0, 2, 228, 2416, 4832, 1824, 64},
{0, 2, 480, 9528, 38656, 38112, 7680, 128}, ...

Crossrefs

Cf. A000629, A123125.

Sequence in context: A221683 A332760 A199335 * A368500 A209699 A115273

Adjacent sequences: A141657 A141658 A141659 * A141661 A141662 A141663

Keyword

nonn,easy,tabl

Author

Roger L. Bagula and Gary W. Adamson, Sep 04 2008

Extensions

Example corrected by Philippe Deléham, Oct 16 2008

New name using formula by Philippe Deléham, Joerg Arndt, Jan 25 2020

Status

approved