

A127967


A rightskewed 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
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OFFSET

0,9


COMMENTS

Linked to Fibonacci numbers by row sums A127968. Inverse A127969 is linked to Genocchi numbers by its first column.


LINKS

Table of n, a(n) for n=0..59.


FORMULA

Column k is generated by x^(2)*(x*(1x)^(1/2))^(k+2), where noninteger values are set to 0; or, column k has g.f. if(mod(k,2)=0,x^k/(1x)^(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
Adjacent sequences: A127964 A127965 A127966 * A127968 A127969 A127970


KEYWORD

easy,nonn,tabl


AUTHOR

Paul Barry, Feb 09 2007


STATUS

approved



