A255414 Row 4 of Ludic array A255127.

7, 31, 59, 85, 113, 137, 163, 191, 217, 241, 269, 295, 323, 347, 373, 401, 427, 451, 479, 505, 533, 557, 583, 611, 637, 661, 689, 715, 743, 767, 793, 821, 847, 871, 899, 925, 953, 977, 1003, 1031, 1057, 1081, 1109, 1135, 1163, 1187, 1213, 1241, 1267, 1291, 1319, 1345, 1373, 1397, 1423, 1451, 1477, 1501, 1529, 1555, 1583, 1607, 1633, 1661

Offset: 1

Author

Antti Karttunen, Feb 22 2015

Keywords

• nonn
• easy

Links

• Antti Karttunen, Table of n, a(n) for n = 1..10001
• Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,0,0,0,1,-1).

Crossrefs

Row 4 of A255127.

Cf. A084968, A255407.

Programs

PARI

appy( {A255414(n)=(n--)\8*210+[7, 31, 59, 85, 113, 137, 163, 191][n%8+1]}, [1..30]) \\ M. F. Hasler, Nov 09 2024

Scheme

(define (A255414 n) (A255127bi 4 n)) ;; Code for A255127bi given in A255127.

Formula

a(n) = A255407(A084968(n)).

From M. F. Hasler, Nov 09 2024: (Start)

a(n) = a(n-8) + 210 = 210*floor((n-1)/8) + a((n-1)%8 + 1), where % is the modulo or remainder operation.

a(n) = a(n-1) + a(n-8) - a(n-9) for n > 9, with a(1..9) given in DATA.

G.f.: x*(7 + 24*x + 28*x^2 + 26*x^3 + 28*x^4 + 24*x^5 + 26*x^6 + 28*x^7 + 19*x^8)/D with D = 1 - x - x^8 + x^9 = (1 + x^4)(1 - x^4) = (1 + x^4)(1 + x^2)(1 + x)(1 - x). (End)