A206819 -id:A206819 - cp's OEIS frontend

A178869 a(n) = 9a(n-1) - 10a(n-2); a(0)=0, a(1)=1.

0, 1, 9, 71, 549, 4231, 32589, 250991, 1933029, 14887351, 114655869, 883029311, 6800705109, 52376052871, 403377424749, 3106636294031, 23925952398789, 184267208648791, 1419145353851229, 10929636098173151, 84175271345046069

Offset: 0

Mark Dols, Jun 20 2010

Alternating row sums of triangle A206819. Large Schroeder numbers in decimal expansion of ratio a(n)/a(n+1). [A-number corrected by Philippe Deléham, Feb 26 2013]

Index entries for linear recurrences with constant coefficients, signature (9, -10).

Cf. A006318, A171415, A104562, A206819.

Join[{a=0,b=1},Table[c=9*b-10*a+2;a=b;b=c,{n,60}]] (* Vladimir Joseph Stephan Orlovsky, Jan 20 2011 *)
LinearRecurrence[{9,-10},{0,1},50] (* or *) CoefficientList[Series[ -x/(-10x^2+9x-1),{x,0,50}],x] (* Harvey P. Dale, May 06 2011 *)

G.f.: -x/(-10*x^2+9*x-1).
a(n) = 9a(n-1)-10a(n-2), a(0)=0, a(1)=1. [Harvey P. Dale, May 06 2011]
a(n+1) = Sum_{k, 0<=k<=n}A206819(n,k)*(-1)^k. - Philippe Deléham, Feb 26 2013

A178865 Triangle read by rows; generalization of A101950.

Original entry on oeis.org

1, 10, 1, 90, 20, 1, 800, 280, 30, 1, 7101, 3400, 570, 40, 1, 63010, 38301, 8800, 960, 50, 1, 559090, 412020, 120601, 18000, 1450, 60, 1, 4960800, 4296280, 1530030, 291001, 32000, 2040, 70, 1

Offset: 1

Mark Dols, Jun 20 2010

Rows sum up to A000042

Erroneous version of A206819. - Philippe Deléham, Feb 23 2013

			Triangle begins:
1,
10, 1,
90, 20, 1,
800, 280, 30, 1

Cf. A000042, A101950, A004189, A206819.

cp's OEIS Frontend

A178869 a(n) = 9a(n-1) - 10a(n-2); a(0)=0, a(1)=1.

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A178865 Triangle read by rows; generalization of A101950.

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cp's OEIS Frontend

A178869 a(n) = 9*a(n-1) - 10*a(n-2); a(0)=0, a(1)=1.

Views

Author

Keywords

Comments

Links

Crossrefs

Programs

Mathematica

Formula

A178865 Triangle read by rows; generalization of A101950.

Views

Author

Keywords

Comments

Examples

Crossrefs

A178869 a(n) = 9a(n-1) - 10a(n-2); a(0)=0, a(1)=1.