login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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

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

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

Adjacent sequences:  A127964 A127965 A127966 * A127968 A127969 A127970

KEYWORD

easy,nonn,tabl

AUTHOR

Paul Barry, Feb 09 2007

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 22 19:53 EDT 2019. Contains 328319 sequences. (Running on oeis4.)