A330360 First occurrence of run of lucky numbers congruent to 1 mod 4 of exactly length n.

1, 9, 285, 933, 741, 11173, 15109, 33705, 100737, 24025, 34197, 86829, 5370693, 6457761, 2287341, 26529033, 53099457, 770289, 754577025, 256655365, 765951429, 2618761237, 1075872265, 2405972445, 2767592133

Offset

1,2

Comments

Calculated using Hugo van der Sanden's Lucky numbers up to 10^9 (private communication).

a(20) = 256655365.

a(26) > 4*10^9. - Giovanni Resta, May 10 2020

Links

Table of n, a(n) for n=1..25.

Amiram Eldar and Giovanni Resta, Table of n, k, A000959(k),... A000959(k+n-1) for n=1..25

Example

a(1) = 1 since 1 is the first lucky number congruent to 1 mod 4, and the next lucky number is 3 which is not congruent to 1 mod 4.
a(2) = 9 since 9 and 13 are 2 consecutive lucky numbers congruent to 1 mod 4, following 7 and followed by 15 which are both not congruent to 1 mod 4.

Crossrefs

Cf. A000959, A055623, A137168, A330359, A330361.

Sequence in context: A012141 A328123 A110553 * A078326 A118893 A055792

Adjacent sequences: A330357 A330358 A330359 * A330361 A330362 A330363

Keyword

nonn,more

Author

Amiram Eldar, Dec 12 2019

Extensions

a(19)-a(25) from Giovanni Resta, May 10 2020

Status

approved