OFFSET

1,2

FORMULA

EXAMPLE

First few rows of the triangle =

k=1 k=2 k=3 k=4 k=5 k=6 k=7

n=1: 1;

n=2: 3, 2;

n=3: 4, 3, 1;

n=4: 7, 6, 4, 3;

n=5: 8, 7, 5, 4, 1;

n=6: 10, 9, 7, 6, 3, 2;

n=7: 11, 10, 8, 7, 4, 3, 1;

...

Row 6 = (10, 9, 7, 6, 3, 2) = partial sums of the first 6 terms of the ruler sequence, starting from the right: (1, 2, 1, 3, 1, 2,...).

PROG

(PARI) T(n, k) = k--; 2*(n-k) - hammingweight(n) + hammingweight(k); \\ Kevin Ryde, Oct 07 2021

CROSSREFS

KEYWORD

AUTHOR

Gary W. Adamson, Jul 27 2008

STATUS

approved