STATUS
reviewed
approved
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Revision History for A080423
(Bold, blue-underlined text is an addition; faded, red-underlined text is aShowing entries 1-10 | older changes
STATUS
proposed
reviewed
STATUS
editing
proposed
DATA
1, 16, 153, 1134, 7182, 40824, 214326, 1058508, 4979799, 22517352, 98513415, 419129802, 1741000716, 7083045648, 28296044604, 111232727064, 431026817373, 1648861601184, 6234757929477, 23328137324646, 86451332438394, 317576323243080, 1157228874847890, 4185605730648420
FORMULA
From Amiram Eldar, Jan 11 2024: (Start)
Sum_{n>=0} 1/a(n) = 215084880*log(3/2)/1001 - 99766344351/1145144.
Sum_{n>=0} (-1)^n/a(n) = 216218880*log(4/3)/1001 - 498108421095/8016008. (End)
STATUS
approved
editing
STATUS
reviewed
approved
STATUS
proposed
reviewed
STATUS
editing
proposed
FORMULA
G.f. : (1-2*x)/(1-3*x)^6.
PROG
(Magma) [Floor((n+1)*(n+2)*(n+3)*(n+4)*(n+15)*3^n/360): n in [0..30]]; // Vincenzo Librandi, Aug 05 2013
STATUS
proposed
editing
STATUS
editing
proposed