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A176226 A symmetrical triangle sequence:q=5;t(n,m,q)=q^m + q^(n - m) - q^n 0
1, 1, 1, 1, -15, 1, 1, -95, -95, 1, 1, -495, -575, -495, 1, 1, -2495, -2975, -2975, -2495, 1, 1, -12495, -14975, -15375, -14975, -12495, 1, 1, -62495, -74975, -77375, -77375, -74975, -62495, 1, 1, -312495, -374975, -387375, -389375, -387375, -374975 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

Row sums are:

{1, 2, -13, -188, -1563, -10938, -70313, -429688, -2539063, -14648438,

-83007813,...}.

LINKS

Table of n, a(n) for n=0..42.

FORMULA

q=5;t(n,m,q)=q^m + q^(n - m) - q^n

EXAMPLE

{1},

{1, 1},

{1, -15, 1},

{1, -95, -95, 1},

{1, -495, -575, -495, 1},

{1, -2495, -2975, -2975, -2495, 1},

{1, -12495, -14975, -15375, -14975, -12495, 1},

{1, -62495, -74975, -77375, -77375, -74975, -62495, 1},

{1, -312495, -374975, -387375, -389375, -387375, -374975, -312495, 1},

{1, -1562495, -1874975, -1937375, -1949375, -1949375, -1937375, -1874975, -1562495, 1},

{1, -7812495, -9374975, -9687375, -9749375, -9759375, -9749375, -9687375, -9374975, -7812495, 1}

MATHEMATICA

t[n_, m_, q_] := q^m + q^(n - m) - q^n;

Table[Flatten[Table[Table[t[n, m, q], {m, 0, n}], {n, 0, 10}]], {q, 1, 10}]

CROSSREFS

Sequence in context: A176286 A111805 A238754 * A155493 A156939 A174187

Adjacent sequences:  A176223 A176224 A176225 * A176227 A176228 A176229

KEYWORD

sign,tabl,uned

AUTHOR

Roger L. Bagula, Apr 12 2010

STATUS

approved

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Last modified October 20 07:33 EDT 2019. Contains 328252 sequences. (Running on oeis4.)