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A174720 A symmetrical triangular sequence:q=4:t(n,m,q)=(1 - q^n)*Binomial[n, m] - (1 - q^n) + 1 0
1, 1, 1, 1, -14, 1, 1, -125, -125, 1, 1, -764, -1274, -764, 1, 1, -4091, -9206, -9206, -4091, 1, 1, -20474, -57329, -77804, -57329, -20474, 1, 1, -98297, -327659, -557021, -557021, -327659, -98297, 1, 1, -458744, -1769444, -3604424, -4521914 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

Row sums are:

{1, 2, -12, -248, -2800, -26592, -233408, -1965952, -16187136, -131595776,

-1062206464,...}.

LINKS

Table of n, a(n) for n=0..40.

FORMULA

q=4:t(n,m,q)=(1 - q^n)*Binomial[n, m] - (1 - q^n) + 1

EXAMPLE

{1},

{1, 1},

{1, -14, 1},

{1, -125, -125, 1},

{1, -764, -1274, -764, 1},

{1, -4091, -9206, -9206, -4091, 1},

{1, -20474, -57329, -77804, -57329, -20474, 1},

{1, -98297, -327659, -557021, -557021, -327659, -98297, 1},

{1, -458744, -1769444, -3604424, -4521914, -3604424, -1769444, -458744, 1},

{1, -2097143, -9175004, -21757868, -32767874, -32767874, -21757868, -9175004, -2097143, 1},

{1, -9437174, -46137299, -124780424, -219152174, -263192324, -219152174, -124780424, -46137299, -9437174, 1}

MATHEMATICA

t[n_, m_, q_] = (1 - q^n)*Binomial[n, m] - (1 - q^n) + 1;

Table[Flatten[Table[Table[t[n, m, q], {m, 0, n}], {n, 0, 10}]], {q, 2, 12}]

CROSSREFS

Sequence in context: A144441 A157150 A142461 * A060628 A022177 A015133

Adjacent sequences:  A174717 A174718 A174719 * A174721 A174722 A174723

KEYWORD

sign,tabl,uned

AUTHOR

Roger L. Bagula, Mar 28 2010

STATUS

approved

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Last modified November 22 02:58 EST 2019. Contains 329383 sequences. (Running on oeis4.)