A329192 Fibonacci numbers with arithmetic mean of digits an integer (sum of digits = a multiple of number of digits).

1, 2, 3, 5, 8, 13, 55, 144, 987, 6765, 10946, 9227465, 225851433717, 8944394323791464, 160500643816367088, 83621143489848422977, 59425114757512643212875125, 30960598847965113057878492344, 127127879743834334146972278486287885163

Offset

1,2

Links

Table of n, a(n) for n=1..19.

Formula

a(n) = A000045(A164947(n+1)).

Example

55 is a term as the arithmetic mean of digits is an integer: (5+5)/2 = 5.
144 is a term as the arithmetic mean of digits is an integer: (1+4+4)/3 = 3.
6765 is a term as the arithmetic mean of digits is an integer: (6+7+6+5)/4 = 6.

Mathematica

<<Statistics`DescriptiveStatistics`
Fibonacci[Flatten[Position[Table[Mean[IntegerDigits[Fibonacci[n]]], {n, 1, 100}], _Integer]]]

Crossrefs

Cf. A000045, A004090, A060384, A069709, A164947.

Sequence in context: A001129 A281599 A041957 * A294939 A096095 A041101

Adjacent sequences: A329189 A329190 A329191 * A329193 A329194 A329195

Keyword

nonn,base

Author

José de Jesús Camacho Medina, Nov 07 2019

Status

approved