A070292 -id:A070292 - cp's OEIS frontend

A070290 a(n) = lcm(8,n)/gcd(8,n).

8, 4, 24, 2, 40, 12, 56, 1, 72, 20, 88, 6, 104, 28, 120, 2, 136, 36, 152, 10, 168, 44, 184, 3, 200, 52, 216, 14, 232, 60, 248, 4, 264, 68, 280, 18, 296, 76, 312, 5, 328, 84, 344, 22, 360, 92, 376, 6, 392, 100, 408, 26, 424, 108, 440, 7, 456, 116, 472, 30, 488

Offset: 1

Amarnath Murthy, May 10 2002

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,-1)

Cf. A070291, A070292, A070293, A109011, A109049.

LinearRecurrence[{0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,-1}, {8,4,24,2,40,12,56,1,72,20,88,6,104,28,120,2}, 37] (* Georg Fischer, Feb 27 2019 *)

a(n) = A109049(n) / A109011(n). - R. J. Mathar, Feb 12 2019
a(n) = 2*a(n-8)-a(n-16). - R. J. Mathar, Feb 12 2019
Sum_{k=1..n} a(k) ~ (293/128)*n^2. - Amiram Eldar, Oct 07 2023

A070291 a(n) = lcm(10,n)/gcd(10,n).

Original entry on oeis.org

10, 5, 30, 10, 2, 15, 70, 20, 90, 1, 110, 30, 130, 35, 6, 40, 170, 45, 190, 2, 210, 55, 230, 60, 10, 65, 270, 70, 290, 3, 310, 80, 330, 85, 14, 90, 370, 95, 390, 4, 410, 105, 430, 110, 18, 115, 470, 120, 490, 5, 510, 130, 530, 135, 22, 140, 570, 145, 590, 6

Offset: 1

Amarnath Murthy, May 10 2002

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,-1)

Cf. A070290, A070292, A070293, A109013, A109051.

Table[LCM[10,n]/GCD[10,n],{n,80}] (* Harvey P. Dale, Nov 01 2013 *)

a(n) = A109051(n) / A109013(n). - R. J. Mathar, Feb 12 2019
a(n) = 2*a(n-10) - a(n-20). - R. J. Mathar, Feb 12 2019
Sum_{k=1..n} a(k) ~ (101/40)*n^2. - Amiram Eldar, Oct 07 2023

A070293 a(n) = lcm(30,n)/gcd(30,n).

Original entry on oeis.org

30, 15, 10, 30, 6, 5, 210, 60, 30, 3, 330, 10, 390, 105, 2, 120, 510, 15, 570, 6, 70, 165, 690, 20, 30, 195, 90, 210, 870, 1, 930, 240, 110, 255, 42, 30, 1110, 285, 130, 12, 1230, 35, 1290, 330, 6, 345, 1410, 40, 1470, 15

Offset: 1

Amarnath Murthy, May 10 2002

Cf. A130724, A188134, A283442, A283443, A070290, A070291, A070292.

Table[LCM[30,n]/GCD[30,n],{n,50}]  (* Harvey P. Dale, Apr 17 2011 *)

Sum_{k=1..n} a(k) ~ (1919/360)*n^2. - Amiram Eldar, Oct 07 2023

More terms from Harvey P. Dale, Apr 17 2011

cp's OEIS Frontend

A070290 a(n) = lcm(8,n)/gcd(8,n).

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A070291 a(n) = lcm(10,n)/gcd(10,n).

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A070293 a(n) = lcm(30,n)/gcd(30,n).

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