A152620 -id:A152620 - cp's OEIS frontend

A152621 a(n)=8a(n-1)-6a(n-2), n>1 ; a(0)=1, a(1)=2.

1, 2, 10, 68, 484, 3464, 24808, 177680, 1272592, 9114656, 65281696, 467565632, 3348834880, 23985285248, 171789272704, 1230402470144, 8812484124928, 63117458178560, 452064760678912, 3237813336359936, 23190118126806016

Offset: 0

Philippe Deléham, Dec 10 2008

Unsigned version of A152620.

Harvey P. Dale, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (8,-6)

LinearRecurrence[{8,-6},{1,2},30] (* Harvey P. Dale, Jun 19 2022 *)

G.f.: (1-6*x)/(1-8*x+6*x^2).

A199479 Triangle T(n,k), read by rows, given by (1,0,0,0,0,0,0,0,0,0,...) DELTA (1,1,1,0,0,0,0,0,0,0,...) where DELTA is the operator defined in A084938.

Original entry on oeis.org

1, 1, 1, 1, 3, 2, 1, 5, 9, 5, 1, 7, 20, 27, 13, 1, 9, 35, 73, 80, 34, 1, 11, 54, 151, 252, 234, 89, 1, 13, 77, 269, 597, 837, 677, 233, 1, 15, 104, 435, 1199, 2225, 2702, 1941, 610, 1, 17, 135, 657, 2158, 4956, 7943, 8533, 5523, 1597

Offset: 0

Philippe Deléham, Nov 06 2011

Mirror image of triangle in A147703.

			Triangle begins:
  1;
  1,  1;
  1,  3,  2;
  1,  5,  9,  5;
  1,  7, 20, 27, 13;
  1,  9, 35, 73, 80, 34;

Cf. A001519, A059502, A000012, A005408, A014107.

Sum_{k=0..n} T(n,k)*x^k = A152620(n), A152594(n), A000007(n), A000012(n), A006012(n), A152596(n), A152599(n) for x=-3,-2,-1,0,1,2,3 respectively.
T(n,n) = A001519(n).
G.f.: (1-2y*x)/(1-(1+3y)*x+y*(1+y)*x^2).

cp's OEIS Frontend

A152621 a(n)=8a(n-1)-6a(n-2), n>1 ; a(0)=1, a(1)=2.

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A199479 Triangle T(n,k), read by rows, given by (1,0,0,0,0,0,0,0,0,0,...) DELTA (1,1,1,0,0,0,0,0,0,0,...) where DELTA is the operator defined in A084938.

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cp's OEIS Frontend

A152621 a(n)=8*a(n-1)-6*a(n-2), n>1 ; a(0)=1, a(1)=2.

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Mathematica

Formula

A199479 Triangle T(n,k), read by rows, given by (1,0,0,0,0,0,0,0,0,0,...) DELTA (1,1,1,0,0,0,0,0,0,0,...) where DELTA is the operator defined in A084938.

Views

Author

Keywords

Comments

Examples

Crossrefs

Formula

A152621 a(n)=8a(n-1)-6a(n-2), n>1 ; a(0)=1, a(1)=2.