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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A094414 Triangle T read by rows: dot product <1,2,...,r> * <s+1,s+2,...,r,1,2,...,s>. 10
1, 5, 4, 14, 11, 11, 30, 24, 22, 24, 55, 45, 40, 40, 45, 91, 76, 67, 64, 67, 76, 140, 119, 105, 98, 98, 105, 119, 204, 176, 156, 144, 140, 144, 156, 176, 285, 249, 222, 204, 195, 195, 204, 222, 249, 385, 340, 305, 280, 265, 260, 265, 280, 305, 340, 506, 451 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Offset for r (the rows) is 1, for s (the columns) it is 0.

LINKS

Table of n, a(n) for n=0..56.

FORMULA

T(r, s) = r(2r^2 + 3r - 3rs + 1 + 3s^2)/6, r >= 1, 0 <= s <= r - 1.

EXAMPLE

1

5 4

14 11 11

30 24 22 24

55 45 40 40 45

91 76 67 64 67 76

MAPLE

T:=proc(r, s) if s>=r then 0 else r*(2*r^2+3*r+1-3*r*s+3*s^2)/6 fi end: for r from 1 to 11 do seq(T(r, s), s=0..r-1) od; # yields sequence in triangular form # Emeric Deutsch, Nov 27 2006

CROSSREFS

Columns 0-6 are A000330, A006527, A026037, A026040, A026043, A026046, A026049. Row sums are A000537. See also A094415, A088003.

Sequence in context: A226555 A147685 A078930 * A158867 A107984 A133178

Adjacent sequences:  A094411 A094412 A094413 * A094415 A094416 A094417

KEYWORD

nonn,tabl

AUTHOR

Ralf Stephan, May 02 2004

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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified September 26 03:18 EDT 2017. Contains 292502 sequences.