A152861 Scaled row sum zero vector recursion:s=7; v(n)={s^(n+1),s^(n+1)-Sum[s^i,{i,2,n}],s^n,...,-1}/s^2.

1, 1, -1, 7, -6, -1, 49, -41, -7, -1, 343, -286, -49, -7, -1, 2401, -2001, -343, -49, -7, -1, 16807, -14006, -2401, -343, -49, -7, -1, 117649, -98041, -16807, -2401, -343, -49, -7, -1, 823543, -686286, -117649, -16807, -2401, -343, -49, -7, -1, 5764801

Offset

0,4

Links

Table of n, a(n) for n=0..45.

Formula

s = 7; v(n) = {s^(n+1),s^(n+1)-Sum[s^i,{i,2,n}],s^n,...,-1}/s^2.

Example

{1},
{1, -1},
{7, -6, -1},
{49, -41, -7, -1},
{343, -286, -49, -7, -1},
{2401, -2001, -343, -49, -7, -1},
{16807, -14006, -2401, -343, -49, -7, -1},
{117649, -98041, -16807, -2401, -343, -49, -7, -1},
{823543, -686286, -117649, -16807, -2401, -343, -49, -7, -1},
{5764801, -4804001, -823543, -117649, -16807, -2401, -343, -49, -7, -1},
{40353607, -33628006, -5764801, -823543, -117649, -16807, -2401, -343, -49, -7, -1}

Mathematica

Clear[s, b, n]; s = 7; 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}]]/49;
Table[b[n], {n, 0, 10}];
Flatten[%]

Crossrefs

Sequence in context: A152755 A152722 A100082 * A285165 A198925 A355923

Adjacent sequences: A152858 A152859 A152860 * A152862 A152863 A152864

Keyword

sign

Author

Roger L. Bagula, Dec 14 2008

Status

approved