|
| |
| |
|
|
|
0, 1, 42, 1723, 70644, 2896405, 118752606, 4868856847, 199623130728, 8184548359849, 335566482753810, 13758225792906211, 564087257509154652, 23127577557875340733, 948230679872888970054, 38877457874788447772215
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
0,3
|
|
|
COMMENTS
|
Partial sums of powers of 41 (A009985).
|
|
|
LINKS
|
Vincenzo Librandi, Table of n, a(n) for n = 0..600
Index entries related to partial sums.
Index entries for linear recurrences with constant coefficients, signature (42,-41).
|
|
|
FORMULA
|
a(n) = floor( 41^n / 40 ).
G.f.: x/((1-x)*(1-41*x)). - Vincenzo Librandi, Nov 07 2012
a(n) = 42*a(n-1) - 41*a(n-2). - Vincenzo Librandi, Nov 07 2012
|
|
|
MATHEMATICA
|
LinearRecurrence[{42, -41}, {0, 1}, 30] (* Vincenzo Librandi, Nov 07 2012 *)
|
|
|
PROG
|
(PARI) A218744(n)=41^n\40
(MAGMA) [n le 2 select n-1 else 42*Self(n-1)-41*Self(n-2): n in [1..20]]; // Vincenzo Librandi, Nov 07 2012
(Maxima) A218744(n):=(41^n-1)/40$
makelist(A218744(n), n, 0, 30); /* Martin Ettl, Nov 07 2012 */
|
|
|
CROSSREFS
|
Cf. A000225, A003462, A002450, A003463, A003464, A023000, A023001, A002452, A002275, A016123, A016125, A091030, A135519, A135518, A131865, A091045, A218722, A064108, A218724, ..., A218733, ..., A218743, ..., A218752, A094028.
Sequence in context: A170675 A170723 A170761 * A158727 A208779 A208500
Adjacent sequences: A218741 A218742 A218743 * A218745 A218746 A218747
|
|
|
KEYWORD
|
nonn,easy
|
|
|
AUTHOR
|
M. F. Hasler, Nov 04 2012
|
|
|
STATUS
|
approved
|
| |
|
|
