A329192 - OEIS

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

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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