A248973 Table read by rows: row n contains the partial sums of the wrecker ball sequences starting with n, cf. A248939.

0, 1, 1, 2, 3, 2, -2, -2, 3, 5, 5, 4, 7, 8, 6, 8, 5, -4, -20, -28, -45, -52, -70, -76, -69, -48, -42, -52, -79, -124, -150, -196, -221, -268, -292, -292, 5, 9, 11, 10, 13, 11, 3, -12, -19, -35, -41, -58, -63, -55, -33, -26, -35, -61, -105, -130, -175, -199, -245, -268, -267, -241, -241

Offset: 0

Author

Reinhard Zumkeller, Oct 20 2014

Keywords

• sign
• tabf

Comments

A228474(n) + 1 = length of row n;

row n = partial sums of row n in A248939;

T(n,A228474(n)) = A248961(n).

Links

• Reinhard Zumkeller, Rows n = 0..16 of triangle, flattened
• Gordon Hamilton, Wrecker Ball Sequences, Video, 2013

Crossrefs

Cf. A228474 (row lengths - 1), A248961 (right edge).

Programs

Haskell

a248973 n k = a248973_tabf !! n !! k
a248973_row n = a248973_tabf !! n
a248973_tabf = map (scanl1 (+)) a248939_tabf

Formula

T(n,0) = n; T(n,k) = T(n,k-1) + A248939(n,k) for k=1..A228474(n).