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A245235 Repeat 2^(n*(n+1)/2) n+1 times. 0
1, 2, 2, 8, 8, 8, 64, 64, 64, 64, 1024, 1024, 1024, 1024, 1024, 32768, 32768, 32768, 32768, 32768, 32768, 2097152, 2097152, 2097152, 2097152, 2097152, 2097152, 2097152, 268435456, 268435456, 268435456, 268435456, 268435456, 268435456, 268435456, 268435456 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

For a(n), the successive exponents of 2 are 0, 1, 1, 3, 3, 3,... = A057944(n).

LINKS

Table of n, a(n) for n=0..35.

FORMULA

a(n) = 2^n/A059268(n).

T(n, k) = 2^(n*(n+1)/2), 0 <= k <= n. - Michel Marcus, Jul 17 2014

EXAMPLE

n+1 times repeated 2^(n*(n+1)/2)= 1, 2, 8, 64, 1024,... = A139685(n).

By the formula: a(0)=1/1=1, a(1)=2/1=2, a(2)=4/2=2, a(3)=8/1=8, a(4)=16/2=8,...

As triangle:

   1,

   2,    2,

   8,    8,    8,

  64,   64,   64,   64,

1024, 1024, 1024, 1024, 1024,

etc.

Row sums: 1, 4, 24, 256,... = A095340.

MATHEMATICA

Table[2^(n*(n+1)/2), {n, 0, 7}, {n+1}] // Flatten (* Jean-Fran├žois Alcover, Jul 15 2014 *)

CROSSREFS

Cf. A000079, A006125, A057944, A059268, A095340, A123903, A139685.

Sequence in context: A330763 A138102 A187791 * A151924 A268342 A058524

Adjacent sequences:  A245232 A245233 A245234 * A245236 A245237 A245238

KEYWORD

nonn,tabl

AUTHOR

Paul Curtz, Jul 14 2014

STATUS

approved

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Last modified February 24 07:45 EST 2020. Contains 332199 sequences. (Running on oeis4.)