A022288 -id:A022288 - cp's OEIS frontend

A022278 a(n) = n(21n-1)/2.

0, 10, 41, 93, 166, 260, 375, 511, 668, 846, 1045, 1265, 1506, 1768, 2051, 2355, 2680, 3026, 3393, 3781, 4190, 4620, 5071, 5543, 6036, 6550, 7085, 7641, 8218, 8816, 9435, 10075, 10736, 11418, 12121

Offset: 0

N. J. A. Sloane

G. C. Greubel, Table of n, a(n) for n = 0..5000
Index entries for linear recurrences with constant coefficients, signature (3,-3,1).

Cf. A000217, A022278.

Cf. similar sequences listed in A022288.

Table[n (21 n - 1)/2, {n, 0, 100}] (* Vladimir Joseph Stephan Orlovsky, Mar 07 2011 *)

a(n)=n*(21*n-1)/2 \\ Charles R Greathouse IV, Jun 16 2017

a(n) = 21*n + a(n-1) - 11 for n > 0, a(0)=0. - Vincenzo Librandi, Aug 04 2010
G.f.: x*(10 + 11*x)/(1 - x)^3. - R. J. Mathar, Aug 04 2016
a(n) = A000217(11*n-1) - A000217(10*n-1). - Bruno Berselli, Oct 17 2016
E.g.f.: (x/2)*(21*x + 20)*exp(x). - G. C. Greubel, Aug 23 2017

A022282 a(n) = n(25n - 1)/2.

Original entry on oeis.org

0, 12, 49, 111, 198, 310, 447, 609, 796, 1008, 1245, 1507, 1794, 2106, 2443, 2805, 3192, 3604, 4041, 4503, 4990, 5502, 6039, 6601, 7188, 7800, 8437, 9099, 9786, 10498, 11235, 11997, 12784, 13596, 14433

Offset: 0

N. J. A. Sloane

G. C. Greubel, Table of n, a(n) for n = 0..5000
Index entries for linear recurrences with constant coefficients, signature (3,-3,1).

Cf. A022283.

Cf. similar sequences listed in A022288.

[n*(25*n - 1)/2 : n in [0..50]]; // Wesley Ivan Hurt, Apr 23 2021

Table[n (25 n - 1)/2, {n, 0, 40}] (* Bruno Berselli, Oct 14 2016 *)

a(n)=n*(25*n-1)/2 \\ Charles R Greathouse IV, Jun 16 2017

a(n) = 25*n + a(n-1) - 13 for n>0, a(0)=0. - Vincenzo Librandi, Aug 04 2010
G.f.: x*(12 + 13*x)/(1 - x)^3 . - R. J. Mathar, Aug 04 2016
a(n) = A000217(13*n-1) - A000217(12*n-1). - Bruno Berselli, Oct 14 2016
E.g.f.: (x/2)*(25*x + 24)*exp(x). - G. C. Greubel, Aug 23 2017
a(n) = 3*a(n-1)-3*a(n-2)+a(n-3). - Wesley Ivan Hurt, Apr 23 2021

A022280 a(n) = n(23n - 1)/2.

Original entry on oeis.org

0, 11, 45, 102, 182, 285, 411, 560, 732, 927, 1145, 1386, 1650, 1937, 2247, 2580, 2936, 3315, 3717, 4142, 4590, 5061, 5555, 6072, 6612, 7175, 7761, 8370, 9002, 9657, 10335, 11036, 11760, 12507, 13277

Offset: 0

N. J. A. Sloane

G. C. Greubel, Table of n, a(n) for n = 0..5000
Index entries for linear recurrences with constant coefficients, signature (3,-3,1).

Cf. A000217, A022281.

Cf. similar sequences listed in A022288.

Table[n (23 n - 1)/2, {n, 0, 40}] (* Bruno Berselli, Oct 14 2016 *)
LinearRecurrence[{3,-3,1},{0,11,45},40] (* Harvey P. Dale, Nov 09 2024 *)

a(n)=n*(23*n-1)/2 \\ Charles R Greathouse IV, Jun 16 2017

a(n) = 23*n + a(n-1) - 12 for n>0, a(0)=0. - Vincenzo Librandi, Aug 04 2010
From Colin Barker, Jun 05 2012: (Start)
G.f.: x*(11 + 12*x)/(1 - x)^3.
a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3). (End)
a(n) = A000217(12*n-1) - A000217(11*n-1). - Bruno Berselli, Oct 14 2016
E.g.f.: (x/2)*(23*x + 22)*exp(x). - G. C. Greubel, Aug 23 2017

A022286 a(n) = n(29n - 1)/2.

Original entry on oeis.org

0, 14, 57, 129, 230, 360, 519, 707, 924, 1170, 1445, 1749, 2082, 2444, 2835, 3255, 3704, 4182, 4689, 5225, 5790, 6384, 7007, 7659, 8340, 9050, 9789, 10557, 11354, 12180, 13035, 13919, 14832, 15774, 16745

Offset: 0

N. J. A. Sloane

G. C. Greubel, Table of n, a(n) for n = 0..5000
Index entries for linear recurrences with constant coefficients, signature (3,-3,1).

Cf. A000217, A022287.

Cf. similar sequences listed in A022288.

Table[n (29 n - 1)/2, {n, 0, 40}] (* Bruno Berselli, Oct 14 2016 *)

a(n)=n*(29*n-1)/2 \\ Charles R Greathouse IV, Jun 17 2017

a(n) = 29*n + a(n-1) - 15 for n>0, a(0)=0. - Vincenzo Librandi, Aug 04 2010
G.f.: x*(14 + 15*x)/(1 - x)^3. - R. J. Mathar, Aug 04 2016
a(n) = A000217(15*n-1) - A000217(14*n-1). - Bruno Berselli, Oct 14 2016
E.g.f.: (x/2)*(29*x + 28)*exp(x). - G. C. Greubel, Aug 24 2017

cp's OEIS Frontend

A022278 a(n) = n*(21*n-1)/2.

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A022282 a(n) = n*(25*n - 1)/2.

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A022280 a(n) = n*(23*n - 1)/2.

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A022286 a(n) = n*(29*n - 1)/2.

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Formula

A022278 a(n) = n(21n-1)/2.

A022282 a(n) = n(25n - 1)/2.

A022280 a(n) = n(23n - 1)/2.

A022286 a(n) = n(29n - 1)/2.