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A180675 The Ca3 sums of the Pell-Jacobsthal triangle A013609. 2
1, 1, 1, 9, 97, 1041, 11169, 119833, 1285697, 13794337, 148000449, 1587907625, 17036776865, 182788823089, 1961154631009, 21041371248697, 225754408665729, 2422135536207937, 25987269043538817, 278819307278968905 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

The a(n+3) represent the Ca3 sums of the Pell-Jacobsthal triangle A013609. See A180662 for information about these camel and other chess sums.

LINKS

Table of n, a(n) for n=0..19.

Index entries for linear recurrences with constant coefficients, signature (11, -3, 1).

FORMULA

a(n) = 11*a(n-1)-3*a(n-2)+a(n-3) with a(0)=1, a(1)=1 and a(2)=1.

a(n+2) = add(A013609(n+2*k,3*k),k=0..floor(n)).

GF(x) = (1-10*x-7*x^2)/(1-11*x+3*x^2-x^3).

MAPLE

nmax:=20: a(0):=1: a(1):=1: a(2):=1: for n from 3 to nmax do a(n) := 11*a(n-1)-3*a(n-2)+a(n-3) od: seq(a(n), n=0..nmax);

MATHEMATICA

LinearRecurrence[{11, -3, 1}, {1, 1, 1}, 20] (* Harvey P. Dale, Jun 23 2013 *)

CROSSREFS

Cf. A077949 (Ca1), A008998 (Ca2), A180675 (Ca3), A092467 (Ca4).

Sequence in context: A230620 A155601 A241771 * A083077 A194725 A218500

Adjacent sequences:  A180672 A180673 A180674 * A180676 A180677 A180678

KEYWORD

easy,nonn

AUTHOR

Johannes W. Meijer, Sep 21 2010

STATUS

approved

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Last modified April 4 21:43 EDT 2020. Contains 333238 sequences. (Running on oeis4.)