A260440 Unlucky numbers removed at the stage four of Lucky sieve.

27, 57, 91, 121, 153, 183, 217, 247, 279, 309, 343, 373, 405, 435, 469, 499, 531, 561, 595, 625, 657, 687, 721, 751, 783, 813, 847, 877, 909, 939, 973, 1003, 1035, 1065, 1099, 1129, 1161, 1191, 1225, 1255, 1287, 1317, 1351, 1381, 1413, 1443, 1477, 1507, 1539, 1569, 1603, 1633, 1665, 1695, 1729, 1759, 1791, 1821, 1855, 1885, 1917, 1947, 1981, 2011

Offset

1,1

Comments

Numbers congruent to {27, 57, 91, 121} modulo 126. - Jianing Song, Apr 27 2022

Links

Antti Karttunen, Table of n, a(n) for n = 1..10000

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

Formula

a(n) = A258011(9*n).

a(n) = A260436(A255414(1+n)).

From Jianing Song, Apr 27 2022: (Start)

a(n) = a(n-4) + 126.

a(n) = a(n-1) + a(n-4) - a(n-5).

G.f.: (27*x+30*x^2+34*x^3+30*x^4+5*x^5)/(1-x-x^4+x^5).

E.g.f: 1/2*(10 + cos(x) - sin(x) + (63*x-11)*cosh(x) + (63*x-8)*sinh(x)). (End)

Prog

(Scheme, two alternatives)
(define (A260440 n) (A258011 (* 9 n)))
(define (A260440 n) (A255543bi 4 n)) ;; Code for A255543bi given in A255543.

Crossrefs

Row 4 of A255543. Every ninth term of A258011.

Sequence in context: A352266 A053180 A080864 * A039459 A235164 A157500

Adjacent sequences: A260437 A260438 A260439 * A260441 A260442 A260443

Keyword

nonn,easy

Author

Antti Karttunen, Jul 27 2015

Status

approved