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A177827 Sub-triangle of A060187 formed by taking every third-indexed term of every third row. 0
1, 1, 1, 1, 23548, 1, 1, 21707972, 21707972, 1, 1, 10708911188, 743288515164, 10708911188, 1, 1, 4261002128223, 6453703025399873, 6453703025399873, 4261002128223, 1, 1, 1556000598766224, 30920009116692763140, 527896878148304296900, 30920009116692763140 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

Row sums are:{1, 2, 23550, 43415946, 764706337542, 12915928055056194,

589740008382887355630, 34621385290631641181980314,

3529900361215340810891790303798, 482387142371699171544762551301105426,

95463751455117339958648491169567658521950,...}.

LINKS

Table of n, a(n) for n=0..25.

EXAMPLE

{1},

{1, 1},

{1, 23548, 1},

{1, 21707972, 21707972, 1},

{1, 10708911188, 743288515164, 10708911188, 1},

{1, 4261002128223, 6453703025399873, 6453703025399873, 4261002128223, 1}

MATHEMATICA

p[x_, n_] = (1 - x)^(n + 1)*Sum[((2*k + 1)^n)*x^k, {k, 0, Infinity}];

t[n_, m_] := CoefficientList[FullSimplify[ExpandAll[p[x, n]]], x][[m + 1]];

Table[Table[t[n, 3*m], {m, 0, Floor[n/3]}], {n, 0, 30, 3}];

Flatten[%]

CROSSREFS

Cf.A060187

Sequence in context: A189656 A204074 A031847 * A069334 A118061 A200437

Adjacent sequences:  A177824 A177825 A177826 * A177828 A177829 A177830

KEYWORD

nonn,tabl

AUTHOR

Roger Bagula, Dec 13 2010

STATUS

approved

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Last modified May 21 23:25 EDT 2013. Contains 225505 sequences.