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

Author

Antti Karttunen, Jul 27 2015

Keywords

• nonn
• easy

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)

Crossrefs

Row 4 of A255543. Every ninth term of A258011.

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)