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A117567
Riordan array ((1+x^2)/(1-x^3),x).
2
1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1
OFFSET
0,1
COMMENTS
Sequence array for the sequence F(L((n+2)/3)). Row sums are A093878. Diagonal sums are A051275. Inverse is A117568.
REFERENCES
Murat Sahin and Elif Tan, Conditional (strong) divisibility sequences, Fib. Q., 56 (No. 1, 2018), 18-31.
LINKS
D. Panario, M. Sahin, Q. Wang, A family of Fibonacci-like conditional sequences, INTEGERS, Vol. 13, 2013, #A78.
FORMULA
Number triangle T(n,k)=F(L((n-k+2)/3))[k<=n] where L(j/p) is the Legendre symbol of j and p.
EXAMPLE
Triangle begins
1,
0, 1,
1, 0, 1,
1, 1, 0, 1,
0, 1, 1, 0, 1,
1, 0, 1, 1, 0, 1,
1, 1, 0, 1, 1, 0, 1,
0, 1, 1, 0, 1, 1, 0, 1,
1, 0, 1, 1, 0, 1, 1, 0, 1,
1, 1, 0, 1, 1, 0, 1, 1, 0, 1
CROSSREFS
Sequence in context: A175192 A088150 A365938 * A307183 A361433 A117568
KEYWORD
easy,nonn,tabl
AUTHOR
Paul Barry, Mar 29 2006
STATUS
approved