A014942 ( 1+24^n*(23*n-1) ) / 529.

1, 49, 1777, 57073, 1715953, 49491697, 1387212529, 38078983921, 1028756811505, 27446832213745, 724884022832881, 18985057740861169, 493749574409596657, 12764586312924606193, 328300388160453422833, 8406016915457191128817

Offset

1,2

Links

Table of n, a(n) for n=1..16.

Index entries for linear recurrences with constant coefficients, signature (49,-624,576).

Formula

a(n) = a(n-1) + n * 24^(n-1).

a(n)= 49*a(n-1) - 624*a(n-2) + 576*a(n-3).

G.f.: x/( (1-x)*(1-24*x)^2 ). [Joerg Arndt, May 23 2010]

Mathematica

a[1] = 1; a[n_Integer] := a[n - 1] + n*24^(n - 1); Table[ a[n], {n, 1, 20}]

Crossrefs

Cf. A014960.

Sequence in context: A140394 A008843 A145848 * A260856 A367378 A065785

Adjacent sequences: A014939 A014940 A014941 * A014943 A014944 A014945

Keyword

nonn,easy

Author

Olivier Gérard

Extensions

More terms from Robert G. Wilson v, Sep 15 2000

Exchanged Lava formula of Jan 2009 with the definition [R. J. Mathar, May 23 2010]

Status

approved