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A127967 A right-skewed Pascal triangle, with interspersed 1's on main diagonal. 3
1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 3, 0, 1, 1, 0, 4, 0, 3, 1, 1, 0, 5, 0, 6, 0, 1, 1, 0, 6, 0, 10, 0, 4, 1, 1, 0, 7, 0, 15, 0, 10, 0, 1, 1, 0, 8, 0, 21, 0, 20, 0, 5, 1, 1, 0, 9, 0, 28 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
0,9
COMMENTS
Linked to Fibonacci numbers by row sums A127968. Inverse A127969 is linked to Genocchi numbers by its first column.
LINKS
FORMULA
Column k is generated by x^(-2)*(x*(1-x)^(-1/2))^(k+2), where non-integer values are set to 0; or, column k has g.f. if(mod(k,2)=0,x^k/(1-x)^(1+k/2),x^k)
EXAMPLE
Triangle begins
1,
1, 1,
1, 0, 1,
1, 0, 2, 1,
1, 0, 3, 0, 1,
1, 0, 4, 0, 3, 1,
1, 0, 5, 0, 6, 0, 1,
1, 0, 6, 0, 10, 0, 4, 1,
1, 0, 7, 0, 15, 0, 10, 0, 1,
1, 0, 8, 0, 21, 0, 20, 0, 5, 1,
1, 0, 9, 0, 28, 0, 35, 0, 15, 0, 1,
1, 0, 10, 0, 36, 0, 56, 0, 35, 0, 6, 1,
1, 0, 11, 0, 45, 0, 84, 0, 70, 0, 21, 0, 1
CROSSREFS
Sequence in context: A180984 A051628 A163540 * A147602 A114206 A073202
KEYWORD
easy,nonn,tabl
AUTHOR
Paul Barry, Feb 09 2007
STATUS
approved

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Last modified March 18 22:56 EDT 2024. Contains 370952 sequences. (Running on oeis4.)