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User: Kaylan Purisima

Kaylan Purisima has authored 2 sequences.

A249674 a(n) = 30*n.

0, 30, 60, 90, 120, 150, 180, 210, 240, 270, 300, 330, 360, 390, 420, 450, 480, 510, 540, 570, 600, 630, 660, 690, 720, 750, 780, 810, 840, 870, 900, 930, 960, 990, 1020, 1050, 1080, 1110, 1140, 1170, 1200, 1230, 1260, 1290, 1320, 1350, 1380, 1410, 1440

Offset: 0

Kaylan Purisima, Nov 03 2014

Numbers divisible by 2, 3 and 5. - Robert Israel, Nov 19 2014

a(n) is the maximum score of a 10-pin n-frame bowling game and the maximum score of an n-pin 10-frame bowling game, given the rules: a strike is worth the number of pins in each frame plus the number of pins knocked down by the next two balls (except in the last frame), a spare is worth the number of pins in each frame plus the number of pins knocked down by the next ball (except in the last frame), and if a strike or spare is earned in the last frame then the player must continue to throw balls until they have thrown 3 balls in the last frame. - Iain Fox, Mar 02 2018

			a(7) = 7 * 30 = 210.

Iain Fox, Table of n, a(n) for n = 0..10000
Eric Weisstein's World of Mathematics, Bowling.
Wikipedia, Ten-pin bowling.
Index entries for linear recurrences with constant coefficients, signature (2,-1).

Cf. A005843, A008585, A008587, A008588, A008592, A008597, A050519, A169823.

[30*n : n in [0..50]]; // Wesley Ivan Hurt, Nov 18 2014

A249674:=n->30*n: seq(A249674(n), n=0..50); # Wesley Ivan Hurt, Nov 18 2014

30*Range[0, 59] (* Alonso del Arte, Nov 18 2014 *)

vector(100,n,30*(n-1)) \\ Derek Orr, Nov 18 2014

first(n) = Vec(30*x/(x-1)^2 + O(x^n), -n) \\ Iain Fox, Mar 02 2018

G.f.: 30*x/(x-1)^2; a(n) = 2*a(n-1) - a(n-2). - Wesley Ivan Hurt, Nov 18 2014
a(n) = 2*A008597(n) = 3*A008592(n) = 5*A008588(n) = 6*A008587(n) = 10*A008585(n) = 15*A005843(n). - Omar E. Pol, Nov 24 2014
From Elmo R. Oliveira, Apr 08 2025: (Start)
E.g.f.: 30*x*exp(x).
a(n) = A169823(n)/2. (End)

A247194 a(n) = ceiling(Pi*n^3).

Original entry on oeis.org

0, 4, 26, 85, 202, 393, 679, 1078, 1609, 2291, 3142, 4182, 5429, 6903, 8621, 10603, 12868, 15435, 18322, 21549, 25133, 29095, 33452, 38224, 43430, 49088, 55217, 61836, 68965, 76621, 84824, 93592, 102944, 112900, 123478, 134696, 146575, 159132, 172386, 186357, 201062, 216522, 232755

Offset: 0

Kaylan Purisima, Nov 24 2014

Ceiling[Pi*Range[0,50]^3] (* Harvey P. Dale, May 22 2016 *)

vector(100,n,ceil(Pi*(n-1)^3)) \\ Derek Orr, Nov 26 2014

a(n) = A121381(n^3). - R. J. Mathar, Nov 27 2014

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User: Kaylan Purisima

A249674 a(n) = 30*n.

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A247194 a(n) = ceiling(Pi*n^3).

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