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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

Table of n, a(n) for n=0..55.

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

Cf. A157278

Sequence in context: A040196 A168622 A168293 * A157278 A144441 A157150

Adjacent sequences:  A157630 A157631 A157632 * A157634 A157635 A157636

KEYWORD

nonn,tabl

AUTHOR

Roger L. Bagula, Mar 03 2009

EXTENSIONS

Edited by the Associate Editors of the OEIS, Apr 22 2009

STATUS

approved

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Last modified January 26 23:05 EST 2020. Contains 331289 sequences. (Running on oeis4.)