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A290477 Base 6 digits are, in order, the first n terms of the periodic sequence with initial period 3,1,4,1,5 (the first five digits of Pi). 1
3, 19, 118, 709, 4259, 25557, 153343, 920062, 5520373, 33122243, 198733461, 1192400767, 7154404606, 42926427637, 257558565827, 1545351394965, 9272108369791, 55632650218750, 333795901312501, 2002775407875011, 12016652447250069, 72099914683500415 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Colin Barker, Table of n, a(n) for n = 1..1000

Index entries for linear recurrences with constant coefficients, signature (6,0,0,0,1,-6).

FORMULA

From Colin Barker, Aug 04 2017: (Start)

G.f.: x*(3 + x + 4*x^2 + x^3 + 5*x^4) / ((1 - x)*(1 - 6*x)*(1 + x + x^2 + x^3 + x^4)).

a(n) = 6*a(n-1) + a(n-5) - 6*a(n-6) for n>6.

(End)

EXAMPLE

Base 6...........Decimal

3......................3

31....................19

314..................118

3141.................709

31415...............4259

314153.............25557

3141531...........153343

etc. - Colin Barker, Aug 04 2017

MATHEMATICA

Table[FromDigits[PadRight[{}, n, {3, 1, 4, 1, 5}], 6], {n, 30}] (* or *) LinearRecurrence[{6, 0, 0, 0, 1, -6}, {3, 19, 118, 709, 4259, 25557}, 30]

PROG

(PARI) Vec(x*(3 + x + 4*x^2 + x^3 + 5*x^4) / ((1 - x)*(1 - 6*x)*(1 + x + x^2 + x^3 + x^4)) + O(x^30)) \\ Colin Barker, Aug 04 2017

CROSSREFS

Sequence in context: A084133 A005667 A098444 * A221184 A274852 A139176

Adjacent sequences:  A290474 A290475 A290476 * A290478 A290479 A290480

KEYWORD

nonn,base,easy

AUTHOR

Harvey P. Dale, Aug 03 2017

STATUS

approved

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Last modified February 20 12:33 EST 2018. Contains 299379 sequences. (Running on oeis4.)