A155105 -id:A155105 - cp's OEIS frontend

A155103 Triangle read by rows: Matrix inverse of A155102.

1, 2, 1, 0, 0, 1, 6, 3, 0, 1, 0, 0, 0, 0, 1, 0, 0, 4, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 30, 15, 0, 5, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 6, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 28, 0, 0, 7, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0

Offset: 1

Mats Granvik, Jan 20 2009

A028361 appears in the first column at A036987 positions. A028362 appears in the second column, A155105 in the third and A155104 in the fourth. A000384 appears as the third ray from zero and A100147 as the fourth.

			Table begins:
1,
2,1,
0,0,1,
6,3,0,1,
0,0,0,0,1,
0,0,4,0,0,1,
0,0,0,0,0,0,1,
30,15,0,5,0,0,0,1,

Cf. A028361, A036987, A028362, A155105, A155104. A000384, A100147.

m = 14; t = Inverse[ Table[ Which[n == k, 1, n == 2*k, -k - 1, True, 0], {n, 1, m}, {k, 1, m}]]; Flatten[ Table[t[[n, k]], {n, 1, m}, {k, 1, n}]] (* Jean-François Alcover, Jul 19 2012 *)

A155104 Numbers appearing in the fourth column of A155103.

Original entry on oeis.org

1, 5, 45, 765, 25245, 1640925, 211679325, 54401586525, 27908013887325, 28605714234508125, 58613108466507148125, 240137905387279785868125, 1967449858837983285617548125, 32236665937060356134843526028125

Offset: 1

Mats Granvik, Jan 20 2009

nonn

			a(1)=1, a(2)=1*5, a(3)=1*5*9, a(4)=1*5*9*17, a(5)=1*5*9*17*33, a(6)=1*5*9*17*33*65 and so on. See A000051 for continuation.

Cf. A000051, A155105.

Table[QPochhammer[-4, 2, n - 1], {n, 14}] (* Arkadiusz Wesolowski, Oct 29 2012 *)

a(n) = prod(k=2..n) (1+2^k), n>1. - Mats Granvik, Simone Severini, Dec 04 2010

a(n) = A028362(n+1)/3. - Vladimir Reshetnikov, Sep 16 2016

More terms from Mats Granvik, Dec 05 2010

cp's OEIS Frontend

A155103 Triangle read by rows: Matrix inverse of A155102.

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