A213278 - OEIS

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A213278

Least common multiple of A001175(n) and n.

1, 6, 24, 12, 20, 24, 112, 24, 72, 60, 110, 24, 364, 336, 120, 48, 612, 72, 342, 60, 336, 330, 1104, 24, 100, 1092, 216, 336, 406, 120, 930, 96, 1320, 612, 560, 72, 2812, 342, 2184, 120, 1640, 336, 3784, 660, 360, 1104, 1504, 48, 784, 300, 1224, 1092, 5724

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OFFSET

1,2

COMMENTS

If n>1 then a(n) is even (see A001175). - Jon Maiga, Mar 25 2019

LINKS

Jon Maiga, Table of n, a(n) for n = 1..23002 (2..23002 from Lars Blomberg)

FORMULA

a(n) = lcm(A001175(n), n). - Jon Maiga, Mar 24 2019

EXAMPLE

Example with n=3:

Fib(k): 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368

Fib(k) mod 3: 0,1,1,2,0,2,2,1,0,1,1,2,0,2,2,1,0,1,1,2,0,2,2,1,0

k mod 3: 0,1,2,0,1,2,0,1,2,0,1,2,0,1,2,0,1,2,0,1,2,0,1,2,0

k increases by 24 before it realigns with Fib(k) mod 3 therefore a(3) = lcm(A001175(3), 3) = lcm(8, 3) = 24.

CROSSREFS

Cf. A000045, A001175, A213277.

Sequence in context: A213344 A337023 A193429 * A029592 A112034 A327568

Adjacent sequences: A213275 A213276 A213277 * A213279 A213280 A213281

KEYWORD

nonn

AUTHOR

Lars Blomberg, Jun 09 2012

EXTENSIONS

Changed offset to 1, added a(1)=1 and simplified name by Jon Maiga, Mar 25 2019

STATUS

approved