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A152862 Triangle read by rows: vector recursion: s=5; v(n)={s^(n+1),s^(n+1)-Sum[s^i,{i,2,n}],s^n,...,-1}/s^2. 0
1, 1, -1, 5, -4, -1, 25, -19, -5, -1, 125, -94, -25, -5, -1, 625, -469, -125, -25, -5, -1, 3125, -2344, -625, -125, -25, -5, -1, 15625, -11719, -3125, -625, -125, -25, -5, -1, 78125, -58594, -15625, -3125, -625, -125, -25, -5, -1, 390625, -292969, -78125 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

Except for first row, row sums are zero.

LINKS

Table of n, a(n) for n=0..47.

FORMULA

s = 5; v(n) = {s^(n+1),s^(n+1)-Sum[s^i,{i,2,n}],s^n,...,-1}/s^2.

EXAMPLE

{1},

{1, -1},

{5, -4, -1},

{25, -19, -5, -1},

{125, -94, -25, -5, -1},

{625, -469, -125, -25, -5, -1},

{3125, -2344, -625, -125, -25, -5, -1},

{15625, -11719, -3125, -625, -125, -25, -5, -1},

{78125, -58594, -15625, -3125, -625, -125, -25, -5, -1},

{390625, -292969, -78125, -15625, -3125, -625, -125, -25, -5, -1},

{1953125, -1464844, -390625, -78125, -15625, -3125, -625, -125, -25, -5, -1}

MATHEMATICA

Clear[s, b, n]; s = 5; b[0] = {1}; b[1] = {1, -1};

b[n_] := Join[{s^(n + 1)}, -{s^(n + 1) - Sum[s^i, {i, n, 2, -1}]}, -Table[s^i, {i, n, 2, -1}]]/s^2;

Table[b[n], {n, 0, 10}];

Flatten[%]

CROSSREFS

Sequence in context: A008955 A182824 A329120 * A108440 A102220 A279151

Adjacent sequences:  A152859 A152860 A152861 * A152863 A152864 A152865

KEYWORD

tabl,sign

AUTHOR

Roger L. Bagula, Dec 14 2008

STATUS

approved

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Last modified June 22 14:22 EDT 2021. Contains 345380 sequences. (Running on oeis4.)