A143124 Triangle read by rows, sum {j=k..n}, A001462(j), 1<=k<=n, A001462 = Golomb's sequence.

1, 3, 2, 5, 4, 2, 8, 7, 5, 3, 11, 10, 8, 6, 3, 15, 14, 12, 10, 7, 4, 19, 18, 16, 14, 11, 8, 4, 23, 22, 20, 18, 15, 12, 8, 4, 28, 27, 25, 23, 20, 17, 13, 9, 5, 33, 32, 30, 28, 25, 22, 1814, 10, 5, 38, 37, 35, 3330, 27, 23, 19, 15, 10, 5, 44, 43, 41, 39, 36, 33, 29, 25, 21, 16, 11, 6

Offset

1,2

Comments

Right border of the triangle = Golomb's sequence, A014262.

Left border = A001463.

Row sums = A143125: (1, 5, 11, 23, 38, 62, 90, 122,...).

Links

Table of n, a(n) for n=1..76.

Formula

Triangle read by rows, T(n,k) = sum {j=k..n} A001462(j), 1<=k<=n; where A001462 = (1, 2, 2, 3, 3, 4, 4,...). A000012 * (A001462 * 0^(n-k)) * A000012

Example

First few rows of the triangle =
1;
3, 2;
5, 4, 2;
8, 7, 5, 3;
11, 10, 8, 6, 3;
15, 14, 12, 10, 7, 4;
19, 18, 16, 14, 11, 8, 4;
23, 22, 20, 18, 15, 12, 8, 4;
28, 27, 25, 23, 20, 17, 13, 9, 5;
...
T(5,3) = 8 = (3 + 3 + 2) where Golomb's sequence = (1, 2, 2, 3, 3, 4, 4, 4,...).

Crossrefs

Cf. A001462, A001463, A143125.

Sequence in context: A371908 A143956 A110661 * A205400 A205850 A204890

Adjacent sequences: A143121 A143122 A143123 * A143125 A143126 A143127

Keyword

nonn,tabl

Author

Gary W. Adamson & Roger L. Bagula, Jul 26 2008

Status

approved