A131822 -id:A131822 - cp's OEIS frontend

A131886 Rearrange the rows of array A077569 by sorting the values on each row by noting the odd part of each signature and sorting as in A131822.

1, 2, 4, 8, 6, 16, 32, 12, 64, 128, 24, 30, 256, 36, 512, 48, 1024, 2048, 96, 72, 60, 4096, 8192, 192, 16384, 144, 32768, 384, 120, 216, 210, 65536, 131072, 768, 288, 180, 262144, 524288, 1536, 240, 432, 1048576, 576, 2097152, 3072, 4194304, 8388608

Offset: 1

Alford Arnold, Aug 15 2007

The shape sequence for both arrays is A001055.

			A077569 begins
  1
  2
  4
  6, 8
  ...
so this triangle begins
    1
    2
    4
    8,  6
   16
   32, 12
   64
  128, 24, 30
  ...

Cf. A001055, A025487, A077569, A131822, A122819, A131801.

A131801 Increment each prime factor for each term of the least prime sequence A087443.

Original entry on oeis.org

1, 3, 9, 15, 27, 45, 105, 81, 135, 225, 315, 1155, 243, 405, 675, 945, 1575, 3465, 15015, 729, 1215, 2025, 3375, 2835, 4725, 10395, 11025, 17325, 45045, 255255, 2187, 3645, 6075, 10125, 8505, 14175, 23625, 31185, 33075, 51975, 121275, 135135, 225225

Offset: 0

Alford Arnold, Jul 16 2007

			The term 30 = 2*3*5
becomes 105 = 3*5*7
A087443 begins
1
2
4...6
8...12...30
16
etc
so a(n) begins
1
3
9...15
27..45..105
81
etc

Cf. A025487.

Cf. A131822.

T(n,k) = A003961[A087443(n,k)]. - R. J. Mathar, Aug 01 2007

More terms from R. J. Mathar, Aug 01 2007

A131888 Follow each least prime signature by the corresponding value in the array A096443.

Original entry on oeis.org

1, 1, 2, 1, 4, 2, 6, 2, 8, 3, 12, 4, 30, 5, 16, 5, 24, 7, 36, 9, 60, 11, 210, 15, 32, 7, 48, 12, 72, 16, 120, 21, 180, 26, 420, 36, 2310, 52, 64, 11, 96, 19, 144, 29, 240, 38, 216, 31, 360, 52, 840, 74, 900, 66, 1260, 92, 4620, 135, 30030, 203

Offset: 0

Alford Arnold, Jul 23 2007

			Array A096443 begins
1..1..2..3...5...7..11..15...22...30
.....2..4...7..12..19..30...45...67
............9..16..29..47...77..118
........5..11..21..38..64..105..165
etc
so the sequence begins 1 1 2 1 4 2 6 2 8 3 12 4 30 5 ...

Cf. A001055 A025487 A080577 A096443 A129306 A131822.

cp's OEIS Frontend

A131886 Rearrange the rows of array A077569 by sorting the values on each row by noting the odd part of each signature and sorting as in A131822.

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A131801 Increment each prime factor for each term of the least prime sequence A087443.

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Examples

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A131888 Follow each least prime signature by the corresponding value in the array A096443.

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Author

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