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!)
A157633 Triangle T(n,m) read rows: 1 in column m=0 and on the diagonal, 2*m*(n-m)*(m^2-n*m+2*n^2) otherwise. 0
1, 1, 1, 1, 14, 1, 1, 64, 64, 1, 1, 174, 224, 174, 1, 1, 368, 528, 528, 368, 1, 1, 670, 1024, 1134, 1024, 670, 1, 1, 1104, 1760, 2064, 2064, 1760, 1104, 1, 1, 1694, 2784, 3390, 3584, 3390, 2784, 1694, 1, 1, 2464, 4144, 5184, 5680, 5680, 5184, 4144, 2464, 1, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
0,5
COMMENTS
Row sums are (30+9*n^5-10*n^3+n)/15, n>0.
LINKS
FORMULA
T(n,m)= 1 if m=0 or m=n, else n^4 - m^4 - (n - m)^4.
EXAMPLE
{1},
{1, 1},
{1, 14, 1},
{1, 64, 64, 1},
{1, 174, 224, 174, 1},
{1, 368, 528, 528, 368, 1},
{1, 670, 1024, 1134, 1024, 670, 1},
{1, 1104, 1760, 2064, 2064, 1760, 1104, 1},
{1, 1694, 2784, 3390, 3584, 3390, 2784, 1694, 1},
{1, 2464, 4144, 5184, 5680, 5680, 5184, 4144, 2464, 1},
{1, 3438, 5888, 7518, 8448, 8750, 8448, 7518, 5888, 3438, 1}
MATHEMATICA
t[n_, m_] = If[n*m*(n - m) == 0, 1, n^4 - (m^4 + (n - m)^4)];
Table[Table[t[n, m], {m, 0, n}], {n, 0, 10}];
Flatten[%]
CROSSREFS
Sequence in context: A040196 A168622 A168293 * A157278 A144441 A157150
KEYWORD
nonn,tabl
AUTHOR
Roger L. Bagula, Mar 03 2009
EXTENSIONS
Edited by the Associate Editors of the OEIS, Apr 22 2009
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 April 21 06:29 EDT 2024. Contains 371850 sequences. (Running on oeis4.)