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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A213889 Triangle of coefficients of representations of columns of A213745 in binomial basis. 2
1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 3, 3, 1, 0, 1, 4, 6, 4, 1, 0, 1, 5, 10, 10, 5, 1, 0, 0, 6, 15, 20, 15, 6, 1, 0, 0, 5, 21, 35, 35, 21, 7, 1, 0, 0, 4, 25, 56, 70, 56, 28, 8, 1, 0, 0, 3, 27, 80, 126, 126, 84, 36, 9, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,9

COMMENTS

This array is the fifth array in the sequence of arrays A026729, A071675, A213887, A213888,..., such that the first two arrays are considered as triangles.

Let {a_(k,i)}, k>=1, i=0,...,k, be the k-th row of the triangle. Then s_k(n)=sum{i=0,...,k}a_(k,i)* binomial(n,k) is the n-th element of the k-th column of A213745. For example, s_1(n)=binomial(n,1)=n is the first column of A213745 for n>1, s_2(n)=binomial(n,1)+binomial(n,2)is the second column of A213745 for n>1, etc. In particular (see comment in A213745), in cases k=8,9  s_k(n) is A063417(n+2), A063418(n+2) respectively.

LINKS

Table of n, a(n) for n=0..65.

EXAMPLE

As a triangle, this begins

n/k.|..0....1....2....3....4....5....6....7....8....9

=====================================================

.0..|..1

.1..|..0....1

.2..|..0....1....1

.3..|..0....1....2....1

.4..|..0....1....3....3....1

.5..|..0....1....4....6....4....1

.6..|..0....1....5...10...10....5....1

.7..|..0....0....6...15...20...15....6....1

.8..|..0....0....5...21...35...35...21....7....1

.9..|..0....0....4...25...56...70...56...28....8....1

CROSSREFS

Cf. A026729, A071675, A213887, A213888.

Sequence in context: A077593 A213888 A119337 * A110555 A097805 A071919

Adjacent sequences:  A213886 A213887 A213888 * A213890 A213891 A213892

KEYWORD

nonn,tabl

AUTHOR

Vladimir Shevelev and Peter J. C. Moses, Jun 23 2012

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 February 16 21:59 EST 2019. Contains 320200 sequences. (Running on oeis4.)