A117598 Padovan numbers for which the digital root is also a Padovan number.

0, 1, 2, 3, 4, 5, 7, 9, 12, 16, 21, 28, 37, 49, 65, 86, 151, 200, 265, 351, 616, 1081, 1432, 1897, 2513, 4410, 5842, 10252, 13581, 17991, 23833, 31572, 41824, 55405, 73396, 97229, 128801, 170625

Offset

0,3

Links

R. J. Mathar, Table of n, a(n) for n = 0..256

Index entries for linear recurrences with constant coefficients, order 102.

Formula

a(n) = 57918*a(n-34) - 327*a(n-68) + a(n-102) for n>=104. - Kevin Ryde, Sep 25 2024

Crossrefs

Cf. A000931, A010888, A117600.

Sequence in context: A318156 A272948 A164001 * A120149 A117597 A241336

Adjacent sequences: A117595 A117596 A117597 * A117599 A117600 A117601

Keyword

nonn,easy,base

Author

Luc Stevens (lms022(AT)yahoo.com), Apr 05 2006

Status

approved