A330361 First occurrence of run of lucky numbers congruent to 3 mod 4 of exactly length n.

15, 3, 51, 1563, 211, 1123, 15511, 5487, 37195, 108963, 331527, 1493103, 1103307, 3248367, 46574499, 4814875, 14747343, 222808263, 446500987, 46936231, 228462727, 1003298383, 1705601667

Offset: 1

Author

Amiram Eldar, Dec 12 2019

Keywords

• nonn
• more

Comments

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

a(24) > 4*10^9. - Giovanni Resta, May 10 2020

Examples

			a(1) = 15 since 15 is a lucky number congruent to 3 mod 4, following 13 and followed by 21 which are both not congruent to 3 mod 4.
a(2) = 3 since 3 and 7 are 2 consecutive lucky numbers congruent to 3 mod 4, following 1 and followed by 9 which are both not congruent to 3 mod 4.
		

Links

• Amiram Eldar and Giovanni Resta, Table of n, k, A000959(k), ..., A000959(k+n-1) for n = 1..23

Crossrefs

Cf. A000959, A055624, A137170, A330359, A330360.

Extensions

a(22)-a(23) from Giovanni Resta, May 10 2020