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A101979
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Antidiagonal sums of A101309, which is the matrix logarithm of A047999 (Pascal's triangle mod 2).
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1
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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; internal format)
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OFFSET
| 0,5
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COMMENTS
| Partial sums at positions 2^m-1 = m*2^(m-2) for m>=2.
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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).
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PROG
| (PARI) {a(n)=sum(k=0, (n-1)\2, if(bitxor(n-k, k)==2^valuation(bitxor(n-k, k), 2), 1, 0))}
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CROSSREFS
| Cf. A047999, A101309.
Sequence in context: A143792 A029375 A071462 * A060582 A060450 A180918
Adjacent sequences: A101976 A101977 A101978 * A101980 A101981 A101982
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KEYWORD
| nonn
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AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), Dec 23 2004
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