A189747
a(1)=5, a(2)=3, a(n)=5*a(n-1) + 3*a(n-2).
Original entry on oeis.org
5, 3, 30, 159, 885, 4902, 27165, 150531, 834150, 4622343, 25614165, 141937854, 786531765, 4358472387, 24151957230, 133835203311, 741631888245, 4109665051158, 22773220920525, 126195099756099, 699295161542070, 3875061106978647, 21473191019519445
Offset: 1
Cf.
A000045,
A000079,
A105476,
A159612,
A080040,
A135522,
A103435,
A189732,
A189734,
A189735,
A189736,
A189737,
A189738,
A189739,
A189741,
A189742,
A189743,
A189744,
A189745,
A189746,
A189748,
A189749.
-
LinearRecurrence[{5,3},{5,3},40]
-
a[1]:5$ a[2]:3$ a[n]:=5*a[n-1]+3*a[n-2]$ makelist(a[n], n, 1, 23); /* Bruno Berselli, May 24 2011 */
A189748
a(n) = 5*a(n-1) + 4*a(n-2) with a(1)=5, a(2)=4.
Original entry on oeis.org
5, 4, 40, 216, 1240, 7064, 40280, 229656, 1309400, 7465624, 42565720, 242691096, 1383718360, 7889356184, 44981654360, 256465696536, 1462255100120, 8337138286744, 47534711834200, 271022112317976, 1545249408926680, 8810335493905304, 50232675105233240
Offset: 1
Cf.
A000045,
A000079,
A105476,
A159612,
A080040,
A135522,
A103435,
A189732,
A189734,
A189735,
A189736,
A189737,
A189738,
A189739,
A189741,
A189742,
A189743,
A189744,
A189745,
A189746,
A189747,
A189749.
-
LinearRecurrence[{5,4},{5,4},40]
-
a[1]:5$ a[2]:4$ a[n]:=5*a[n-1]+4*a[n-2]$ makelist(a[n], n, 1, 23); /* Bruno Berselli, May 24 2011 */
A268409
a(n) = 4*a(n - 1) + 2*a(n - 2) for n>1, a(0)=3, a(1)=5.
Original entry on oeis.org
3, 5, 26, 114, 508, 2260, 10056, 44744, 199088, 885840, 3941536, 17537824, 78034368, 347213120, 1544921216, 6874111104, 30586286848, 136093369600, 605546052096, 2694370947584, 11988575894528, 53343045473280, 237349333682176, 1056083425675264
Offset: 0
-
[n le 2 select 2*n+1 else 4*Self(n-1)+2*Self(n-2): n in [1..30]]; // Vincenzo Librandi, Feb 04 2016
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RecurrenceTable[{a[0] == 3, a[1] == 5, a[n] == 4 a[n - 1] + 2 a[n - 2]}, a, {n, 23}]
LinearRecurrence[{4, 2}, {3, 5}, 24]
Table[((18 + Sqrt[6]) (2 - Sqrt[6])^n - (Sqrt[6] - 18) (2 + Sqrt[6])^n)/12, {n, 0, 23}]
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Vec((3 - 7*x)/(1 - 4*x - 2*x^2) + O(x^30)) \\ Michel Marcus, Feb 04 2016
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