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A172092 Subtraction q form triangle:q=3;c(n)=Product[Sum[2^k, {k, 0, i}], {i, 1, n - 1}]; t(n,k) = -c(n) + c(n - k) + c(k, q) 0
1, 1, 1, 1, -2, 1, 1, -47, -47, 1, 1, -2027, -2072, -2027, 1, 1, -249599, -251624, -251624, -249599, 1, 1, -91359839, -91609436, -91611416, -91609436, -91359839, 1, 1, -100039779839, -100131139676, -100131389228, -100131389228 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

Row sums are:

{1, 2, 0, -92, -6124, -1002444, -457549964, -600604617484, -2298816299112204,

-25856055844713627404, -858811326017167374184204,...}

LINKS

Table of n, a(n) for n=0..32.

FORMULA

q=3;c(n)=Product[Sum[2^k, {k, 0, i}], {i, 1, n - 1}];

t(n,k) = -c(n) + c(n - k) + c(k, q)

EXAMPLE

{1},

{1, 1},

{1, -2, 1},

{1, -47, -47, 1},

{1, -2027, -2072, -2027, 1},

{1, -249599, -251624, -251624, -249599, 1},

{1, -91359839, -91609436, -91611416, -91609436, -91359839, 1},

{1, -100039779839, -100131139676, -100131389228, -100131389228, -100131139676, -100039779839, 1},

{1, -328330832269439, -328430872049276, -328430963409068, -328430963656640, -328430963409068, -328430872049276, -328330832269439, 1},

{1, -3231760682422271999, -3232089013254541436, -3232089113294321228, -3232089113385679040, -3232089113385679040, -3232089113294321228, -3232089013254541436, -3231760682422271999, 1},

{1, -95420966894492894054399, -95424198655175316326396, -95424198983506148595788, -95424198983606188373600, -95424198983606279483840, -95424198983606188373600, -95424198983506148595788, -95424198655175316326396, -95420966894492894054399, 1}

MATHEMATICA

Clear[c, t, n, k, t];

c[n_, q_]:=Product[Sum[q^k, {k, 0, i}], {i, 1, n-1}];

t[n_, k_, q_]=-c[n, q]+c[n-k, q]+c[k, q];

Table[Table[Table[t[n, k, q], {k, 0, n}], {n, 0, 10}], {q, 2, 10}];

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

CROSSREFS

Sequence in context: A132454 A182911 A058293 * A156888 A173890 A159767

Adjacent sequences:  A172089 A172090 A172091 * A172093 A172094 A172095

KEYWORD

sign,tabl,uned

AUTHOR

Roger L. Bagula, Jan 25 2010

STATUS

approved

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Last modified September 17 19:12 EDT 2019. Contains 327137 sequences. (Running on oeis4.)