A067481 -id:A067481 - cp's OEIS frontend

A054565 Numbers n such that 3 is the first digit of 3^n.

1, 18, 20, 22, 41, 43, 62, 64, 66, 83, 85, 87, 106, 108, 110, 127, 129, 131, 150, 152, 171, 173, 175, 194, 196, 215, 217, 219, 236, 238, 240, 259, 261, 263, 280, 282, 284, 303, 305, 324, 326, 328, 347, 349, 368, 370, 372, 389, 391, 393, 412, 414, 416, 433

Offset: 1

Benoit Cloitre, Feb 22 2002

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Cf. A067481.

Select[Range[500],First[IntegerDigits[3^#]]==3&] (* Harvey P. Dale, Dec 23 2012 *)

for(n=1,100, if(floor(3^n/10^(floor(n*log(3)/log(10))))==3,print1(n,",")))

Corrected by T. D. Noe, Nov 01 2006

Corrected by Harvey P. Dale, Dec 23 2012

A067493 Powers of 7 with initial digit 1.

Original entry on oeis.org

1, 16807, 117649, 1977326743, 13841287201, 1628413597910449, 11398895185373143, 191581231380566414401, 1341068619663964900807, 157775382034845806615042743, 1104427674243920646305299201

Offset: 1

Amarnath Murthy, Feb 09 2002

Muniru A Asiru, Table of n, a(n) for n = 1..357

Cf. A067480, A067481, A067482, A067483, A067484, A067485, A067486, A067487, A067488, A067489, A067490, A067491, A067492.

Filtered(List([0..40],n->7^n),i->ListOfDigits(i)[1]=1); # Muniru A Asiru, Oct 22 2018

Offset 1 by Michel Marcus, Oct 19 2018

A067494 Powers of 8 with initial digit 1.

Original entry on oeis.org

1, 16777216, 134217728, 1073741824, 18014398509481984, 144115188075855872, 1152921504606846976, 19342813113834066795298816, 154742504910672534362390528, 1237940039285380274899124224

Offset: 1

Amarnath Murthy, Feb 09 2002

Muniru A Asiru, Table of n, a(n) for n = 1..330

Cf. A067480, A067481, A067482, A067483, A067484, A067485, A067486, A067487, A067488, A067489, A067490, A067491, A067492, A067493.

Filtered(List([0..40],n->8^n),i->ListOfDigits(i)[1]=1); # Muniru A Asiru, Oct 22 2018

Select[8^Range[0,30],IntegerDigits[#][[1]]==1&] (* Harvey P. Dale, Jun 10 2023 *)

Offset 1 by Michel Marcus, Oct 19 2018

A067495 Powers of 9 having initial digit 1.

Original entry on oeis.org

1, 1853020188851841, 16677181699666569, 150094635296999121, 1350851717672992089, 12157665459056928801, 109418989131512359209, 1824800363140073127359051977856583921, 16423203268260658146231467800709255289, 147808829414345923316083210206383297601

Offset: 1

Amarnath Murthy, Feb 09 2002

Muniru A Asiru, Table of n, a(n) for n = 1..250

Cf. A067480, A067481, A067482, A067483, A067484, A067485, A067486, A067487, A067488, A067489, A067490, A067491, A067492, A067493, A067494.

Filtered(List([0..40],n->9^n),i->ListOfDigits(i)[1]=1); # Muniru A Asiru, Oct 22 2018

select(x-> "1"=""||x[1],[9^n$n=0..60])[];  # Alois P. Heinz, Oct 22 2018

Select[9^Range[0,50],First[IntegerDigits[#]]==1&] (* Harvey P. Dale, Oct 01 2015 *)

More terms from Harvey P. Dale, Oct 01 2015

cp's OEIS Frontend

A054565 Numbers n such that 3 is the first digit of 3^n.

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A067493 Powers of 7 with initial digit 1.

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A067494 Powers of 8 with initial digit 1.

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A067495 Powers of 9 having initial digit 1.

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