login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A199479 Triangle T(n,k), read by rows, given by (1,0,0,0,0,0,0,0,0,0,...) DELTA (1,1,1,0,0,0,0,0,0,0,...) where DELTA is the operator defined in A084938. 0
1, 1, 1, 1, 3, 2, 1, 5, 9, 5, 1, 7, 20, 27, 13, 1, 9, 35, 73, 80, 34, 1, 11, 54, 151, 252, 234, 89, 1, 13, 77, 269, 597, 837, 677, 233, 1, 15, 104, 435, 1199, 2225, 2702, 1941, 610, 1, 17, 135, 657, 2158, 4956, 7943, 8533, 5523, 1597 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

Mirror image of triangle in A147703.

LINKS

Table of n, a(n) for n=0..54.

FORMULA

Sum_{k=0..n} T(n,k)*x^k = A152620(n), A152594(n), A000007(n), A000012(n), A006012(n), A152596(n), A152599(n) for x=-3,-2,-1,0,1,2,3 respectively.

T(n,n) = A001519(n).

G.f.: (1-2y*x)/(1-(1+3y)*x+y*(1+y)*x^2).

EXAMPLE

Triangle begins:

1;

1, 1;

1, 3, 2;

1, 5, 9, 5;

1, 7, 20, 27, 13;

1, 9, 35, 73, 80, 34;

CROSSREFS

Cf. A001519, A059502, A000012, A005408, A014107.

Sequence in context: A077976 A021912 A114597 * A050165 A330784 A198876

Adjacent sequences: A199476 A199477 A199478 * A199480 A199481 A199482

KEYWORD

easy,nonn,tabl

AUTHOR

Philippe Deléham, Nov 06 2011

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified February 4 07:13 EST 2023. Contains 360046 sequences. (Running on oeis4.)