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A101979 Antidiagonal sums of A101309, which is the matrix logarithm of A047999 (Pascal's triangle mod 2). 3
0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 3, 0, 2, 1, 1, 0, 2, 1, 3, 0, 4, 1, 3, 0, 2, 1, 3, 0, 2, 1, 1, 0, 2, 1, 3, 0, 4, 1, 3, 0, 4, 1, 5, 0, 4, 1, 3, 0, 2, 1, 3, 0, 4, 1, 3, 0, 2, 1, 3, 0, 2, 1, 1, 0, 2, 1, 3, 0, 4, 1, 3, 0, 4, 1, 5, 0, 4, 1, 3, 0, 4, 1, 5, 0, 6, 1, 5, 0, 4, 1, 5, 0, 4, 1, 3, 0, 2, 1, 3, 0, 4, 1, 3, 0, 4 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

Partial sums at positions 2^m-1 = m*2^(m-2) for m>=2.

LINKS

Table of n, a(n) for n=0..104.

EXAMPLE

Partial sums at 2^m-1 are:

at 2^2-1 (m=2): 0+1+1+0 = 2 = 2*2^(2-2),

at 2^3-1 (m=3): 0+1+1+0+2+1+1+0 = 6 = 3*2^(3-2),

at 2^4-1 (m=4): 0+1+1+0+2+1+1+0+2+1+3+0+2+1+1+0 = 16 = 4*2^(4-2).

PROG

(PARI) {a(n)=sum(k=0, (n-1)\2, if(bitxor(n-k, k)==2^valuation(bitxor(n-k, k), 2), 1, 0))}

CROSSREFS

Cf. A047999, A101309.

Sequence in context: A230121 A029375 A071462 * A308061 A060582 A060450

Adjacent sequences:  A101976 A101977 A101978 * A101980 A101981 A101982

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Dec 23 2004

STATUS

approved

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Last modified July 22 05:47 EDT 2019. Contains 325213 sequences. (Running on oeis4.)