Location via proxy:   [ UP ]   [Report a bug]   [Manage cookies]    No cookies    No scripts    No ads    No referrer    Show this form

login

The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!) A370238 a(n) = n*(3*n + 23)/2. 1 0, 13, 29, 48, 70, 95, 123, 154, 188, 225, 265, 308, 354, 403, 455, 510, 568, 629, 693, 760, 830, 903, 979, 1058, 1140, 1225, 1313, 1404, 1498, 1595, 1695, 1798, 1904, 2013, 2125, 2240, 2358, 2479, 2603, 2730, 2860, 2993, 3129, 3268, 3410, 3555, 3703, 3854, 4008 (list; graph; refs; listen; history; text; internal format) OFFSET 0,2 COMMENTS a(a(1)) = A000566(a(1)). This is also true for each of the sequences provided in the formulae below; e.g., A151542(A151542(1)) = A000566(A151542(1)). LINKS Michael De Vlieger, Table of n, a(n) for n = 0..10000 Sela Fried, Counting r X s rectangles in nondecreasing and Smirnov words, arXiv:2406.18923 [math.CO], 2024. See p. 9. Index entries for linear recurrences with constant coefficients, signature (3,-3,1). FORMULA a(n) = n*(3*n + 23)/2 = A277976(n)/2. G.f.: x*(13-10*x)/(1-x)^3. a(n) = A151542(n) + n. a(n) = A140675(n) + 2*n. a(n) = A140674(n) + 3*n. a(n) = A140673(n) + 4*n. a(n) = A140672(n) + 5*n. a(n) = A059845(n) + 6*n. a(n) = A140091(n) + 7*n. a(n) = A140090(n) + 8*n. a(n) = A115067(n) + 9*n. a(n) = A045943(n) + 10*n. a(n) = A005449(n) + 11*n. a(n) = A000326(n) + A008594(n). Sum_{n>=1} 1/a(n) = 823467/2769844 + sqrt(3)*Pi/69 -3*log(3)/23 = 0.2328608... - R. J. Mathar, Apr 23 2024 E.g.f.: exp(x)*x*(26 + 3*x)/2. - Stefano Spezia, Apr 26 2024 MATHEMATICA Table[n(3n+23)/2, {n, 0, 48}] (* James C. McMahon, Feb 20 2024 *) PROG (Python) def a(n): return n*(3*n+23)//2 CROSSREFS Cf. A000326, A000566, A008594, A005449, A045943, A059845, A115067, A140090, A140091, A140672, A140673, A140674, A140675, A151542, A277976. Sequence in context: A243138 A153422 A166034 * A031414 A270361 A010337 Adjacent sequences: A370235 A370236 A370237 * A370239 A370240 A370241 KEYWORD nonn,easy,changed AUTHOR Torlach Rush, Feb 12 2024 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified July 18 15:13 EDT 2024. Contains 374388 sequences. (Running on oeis4.)