A059126 -id:A059126 - cp's OEIS frontend

A059162 A hierarchical sequence (S(W'2{3}*c) - see A059126).

12, 48, 144, 384, 960, 2304, 5376, 12288, 27648, 61440, 135168, 294912, 638976, 1376256, 2949120, 6291456, 13369344, 28311552, 59768832, 125829120, 264241152, 553648128, 1157627904, 2415919104, 5033164800, 10468982784, 21743271936, 45097156608, 93415538688

Offset: 0

Jonas Wallgren, Feb 02 2001

Colin Barker, Table of n, a(n) for n = 0..1000
J. Wallgren, Hierarchical sequences
Index entries for linear recurrences with constant coefficients, signature (4,-4).

Vec(12/(2*x-1)^2 + O(x^40)) \\ Colin Barker, Oct 07 2015

a(n) = 12*A001787(n).
From Colin Barker, Oct 07 2015: (Start)
a(n) = 3*(2^(2+n)*(1+n)).
a(n) = 4*a(n-1)-4*a(n-2) for n>1.
G.f.: 12 / (2*x-1)^2.
(End)

A059138 A hierarchical sequence (S(W3{2,2}cc) - see A059126).

Original entry on oeis.org

18, 90, 270, 666, 1494, 3186, 6606, 13482, 27270, 54882, 110142, 220698, 441846, 884178, 1768878, 3538314, 7077222, 14155074, 28310814, 56622330, 113245398, 226491570, 452983950, 905968746, 1811938374, 3623877666, 7247756286, 14495513562, 28991028150

Offset: 0

Jonas Wallgren, Jan 19 2001

nonn

Jonas Wallgren, Hierarchical sequences
Index entries for linear recurrences with constant coefficients, signature (4, -5, 2).

Cf. A059126.

Conjectures from Colin Barker, Oct 07 2015: (Start)
a(n) = 18*(-5 + 3*2^(1+n) - 2*n) = 18*A050488(n+1).
a(n) = 4*a(n-1) - 5*a(n-2) + 2*a(n-3) for n>2.
G.f.: -18*(x+1) / ((x-1)^2*(2*x-1)).
(End)

More terms from Sean A. Irvine, Sep 13 2022

A059140 A hierarchical sequence (S(W2{2}*c) - see A059126).

Original entry on oeis.org

4, 15, 40, 93, 202, 423, 868, 1761, 3550, 7131, 14296, 28629, 57298, 114639, 229324, 458697, 917446, 1834947, 3669952, 7339965, 14679994, 29360055, 58720180, 117440433, 234880942, 469761963, 939524008, 1879048101, 3758096290, 7516192671, 15032385436

Offset: 0

Jonas Wallgren, Jan 19 2001

nonn

Jonas Wallgren, Hierarchical sequences
Index entries for linear recurrences with constant coefficients, signature (4, -5, 2).

Cf. A059126.

Conjectures from Colin Barker, Oct 07 2015: (Start)
a(n) = 2*(-5 + 7*2^n) - 3*n.
a(n) = 4*a(n-1) - 5*a(n-2) + 2*a(n-3) for n > 2.
G.f.: (x-4) / ((x-1)^2*(2*x-1)).
(End)

More terms from Sean A. Irvine, Sep 13 2022

A059142 A hierarchical sequence (S(W2{3}*) - see A059126).

Original entry on oeis.org

11, 40, 105, 242, 523, 1092, 2237, 4534, 9135, 18344, 36769, 73626, 147347, 294796, 589701, 1179518, 2359159, 4718448, 9437033, 18874210, 37748571, 75497300, 150994765, 301989702, 603979583, 1207959352, 2415918897, 4831837994, 9663676195, 19327352604

Offset: 0

Jonas Wallgren, Jan 19 2001

nonn

Jonas Wallgren, Hierarchical sequences
Index entries for linear recurrences with constant coefficients, signature (4, -5, 2).

Cf. A059126.

Conjectures from Colin Barker, Oct 06 2015: (Start)
a(n) = 4*a(n-1) - 5*a(n-2) + 2*a(n-3) for n > 2.
a(n) = (-25 + 9*2^(2+n) - 7*n).
G.f.: (4*x-11) / ((x-1)^2*(2*x-1)).
(End)

More terms from Sean A. Irvine, Sep 13 2022

A059146 A hierarchical sequence (W'2{2} - see A059126).

Original entry on oeis.org

1, 2, 1, 4, 8, 4, 1, 2, 1, 16, 32, 16, 1, 2, 1, 4, 8, 4, 1, 2, 1, 64, 128, 64, 1, 2, 1, 4, 8, 4, 1, 2, 1, 16, 32, 16, 1, 2, 1, 4, 8, 4, 1, 2, 1, 256, 512, 256, 1, 2, 1, 4, 8, 4, 1, 2, 1, 16, 32, 16, 1, 2, 1, 4, 8, 4, 1, 2, 1, 64, 128, 64, 1, 2, 1, 4, 8, 4, 1, 2, 1, 16, 32, 16, 1, 2, 1, 4, 8, 4, 1

Offset: 0

Jonas Wallgren, Feb 01 2001

J. Wallgren, Hierarchical sequences

Cf. A006519, A059126.

a(3*n) = a(3*n+2) = A006519(n)^2, a(3*n+1) = 2*a(3*n). - Sean A. Irvine, Sep 13 2022

A059147 A hierarchical sequence (W'2{3} - see A059126).

Original entry on oeis.org

1, 2, 1, 4, 1, 2, 1, 8, 16, 8, 32, 8, 16, 8, 1, 2, 1, 4, 1, 2, 1, 64, 128, 64, 256, 64, 128, 64, 1, 2, 1, 4, 1, 2, 1, 8, 16, 8, 32, 8, 16, 8, 1, 2, 1, 4, 1, 2, 1, 512, 1024, 512, 2048, 512, 1024, 512, 1, 2, 1, 4, 1, 2, 1, 8, 16, 8, 32, 8, 16, 8, 1, 2, 1, 4, 1, 2, 1, 64, 128, 64, 256

Offset: 0

Jonas Wallgren, Feb 01 2001

J. Wallgren, Hierarchical sequences

A059149 A hierarchical sequence (W'2{2}* - see A059126).

Original entry on oeis.org

1, 2, 1, 2, 4, 2, 1, 2, 1, 4, 8, 4, 1, 2, 1, 2, 4, 2, 1, 2, 1, 8, 16, 8, 1, 2, 1, 2, 4, 2, 1, 2, 1, 4, 8, 4, 1, 2, 1, 2, 4, 2, 1, 2, 1, 16, 32, 16, 1, 2, 1, 2, 4, 2, 1, 2, 1, 4, 8, 4, 1, 2, 1, 2, 4, 2, 1, 2, 1, 8, 16, 8, 1, 2, 1, 2, 4, 2, 1, 2, 1, 4, 8, 4, 1, 2, 1, 2, 4, 2, 1, 2, 1, 32, 64, 32, 1, 2, 1, 2

Offset: 0

Jonas Wallgren, Feb 01 2001

J. Wallgren, Hierarchical sequences

A059150 A hierarchical sequence (W'2{3}* - see A059126).

Original entry on oeis.org

1, 2, 1, 4, 1, 2, 1, 2, 4, 2, 8, 2, 4, 2, 1, 2, 1, 4, 1, 2, 1, 4, 8, 4, 16, 4, 8, 4, 1, 2, 1, 4, 1, 2, 1, 2, 4, 2, 8, 2, 4, 2, 1, 2, 1, 4, 1, 2, 1, 8, 16, 8, 32, 8, 16, 8, 1, 2, 1, 4, 1, 2, 1, 2, 4, 2, 8, 2, 4, 2, 1, 2, 1, 4, 1, 2, 1, 4, 8, 4, 16, 4, 8, 4, 1, 2, 1, 4, 1, 2, 1, 2, 4, 2, 8, 2, 4, 2, 1, 2, 1

Offset: 0

Jonas Wallgren, Feb 01 2001

J. Wallgren, Hierarchical sequences

Cf. A059126.

A059152 A hierarchical sequence (W'2{2}c - see A059126).

Original entry on oeis.org

4, 16, 4, 64, 4, 16, 4, 256, 4, 16, 4, 64, 4, 16, 4, 1024, 4, 16, 4, 64, 4, 16, 4, 256, 4, 16, 4, 64, 4, 16, 4, 4096, 4, 16, 4, 64, 4, 16, 4, 256, 4, 16, 4, 64, 4, 16, 4, 1024, 4, 16, 4, 64, 4, 16, 4, 256, 4, 16, 4, 64, 4, 16, 4, 16384, 4, 16, 4, 64, 4, 16, 4, 256, 4, 16, 4, 64, 4, 16

Offset: 0

Jonas Wallgren, Feb 02 2001

J. Wallgren, Hierarchical sequences

Cf. A007814, A059126.

a(n) = 4*4^A007814(n). - Mitch Harris, Jun 29 2005

A059154 A hierarchical sequence (W'2{3}c - see A059126).

Original entry on oeis.org

12, 96, 12, 768, 12, 96, 12, 6144, 12, 96, 12, 768, 12, 96, 12, 49152, 12, 96, 12, 768, 12, 96, 12, 6144, 12, 96, 12, 768, 12, 96, 12, 393216, 12, 96, 12, 768, 12, 96, 12, 6144, 12, 96, 12, 768, 12, 96, 12, 49152, 12, 96, 12, 768, 12, 96, 12, 6144, 12, 96, 12, 768

Offset: 0

Jonas Wallgren, Feb 02 2001

J. Wallgren, Hierarchical sequences

Cf. A007814, A059126.

a(n) = 12*8^A007814(n). - Mitch Harris, Jun 29 2005

cp's OEIS Frontend

A059162 A hierarchical sequence (S(W'2{3}*c) - see A059126).

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A059138 A hierarchical sequence (S(W3{2,2}cc) - see A059126).

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A059140 A hierarchical sequence (S(W2{2}*c) - see A059126).

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A059142 A hierarchical sequence (S(W2{3}*) - see A059126).

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A059146 A hierarchical sequence (W'2{2} - see A059126).

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A059147 A hierarchical sequence (W'2{3} - see A059126).

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A059149 A hierarchical sequence (W'2{2}* - see A059126).

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A059150 A hierarchical sequence (W'2{3}* - see A059126).

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A059152 A hierarchical sequence (W'2{2}c - see A059126).

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Formula

A059154 A hierarchical sequence (W'2{3}c - see A059126).

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