A377165 a(n) = 76 + 275*n.

76, 351, 626, 901, 1176, 1451, 1726, 2001, 2276, 2551, 2826, 3101, 3376, 3651, 3926, 4201, 4476, 4751, 5026, 5301, 5576, 5851, 6126, 6401, 6676, 6951, 7226, 7501, 7776, 8051, 8326, 8601, 8876, 9151, 9426, 9701, 9976, 10251, 10526, 10801, 11076, 11351, 11626, 11901

Offset

0,1

Comments

Numbers k such k - 1 is a multiple of 25 and k + 1 is a multiple of 11. See Besso and Lugli, and Matmedia links.

Links

Table of n, a(n) for n=0..43.

Davide Besso and Aurelio Lugli, Temi di Matematica dati per l'Esame di Maturità in Ginnasi e Scuole Reali Superiori dell'Austria-Ungheria, Periodico di Matematica, ISSN 2612-6745, Series I, 1894. See p. 27 (In Italian).

Matmedia, Un esercizio di maturità sui numeri interi, Oct 08 2024 (In Italian).

Index entries for linear recurrences with constant coefficients, signature (2,-1).

Formula

a(n) = 2*a(n-1) - a(n-2) for n > 1.

G.f.: (76 + 199*x)/(1 - x)^2.

E.g.f.: exp(x)*(76 + 275*x).

Mathematica

LinearRecurrence[{2, -1}, {76, 351}, 44]

Crossrefs

Cf. A008593, A008607, A377166.

Sequence in context: A060316 A005571 A233877 * A067987 A167586 A234184

Adjacent sequences: A377162 A377163 A377164 * A377166 A377167 A377168

Keyword

nonn,easy

Author

Stefano Spezia, Oct 18 2024

Status

approved