A162371 Lexicographically earliest permutation of the natural numbers such that, when seen as a triangle read by rows, for n>1 the sums of rows are prime numbers.

1, 2, 3, 4, 5, 8, 6, 7, 9, 15, 10, 11, 12, 13, 21, 14, 16, 17, 18, 19, 23, 20, 22, 24, 25, 26, 27, 29, 28, 30, 31, 32, 33, 34, 35, 40, 36, 37, 38, 39, 41, 42, 43, 44, 47, 45, 46, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 68, 66, 67, 69, 70, 71, 72

Offset

1,2

Comments

A162373 = row sums: A162373(n)=SUM(a(k):A000124(n-1)<=k<=A000217(n));

A162372 = right edge: A162372(n)=a(A000217(n));

A162375 = inverse: A162375(a(n))=n and a(A162375(n))=n;

A162374 = fixed points: a(A162374(n)) = A162374(n).

Links

R. Zumkeller, Table of n, a(n) for n = 1..1000

Index entries for sequences that are permutations of the natural numbers

Example

row ____________ initial terms _____________ row sum
1 : ................. 1 .......................... 1
2 : ............... 2 .. 3 ....................... 5
3 : ............. 4 .. 5 .. 8 ................... 17
4 : ........... 6 .. 7 .. 9 . 15 ................ 37
5 : ........ 10 . 11 . 12 . 13 . 21 ............. 67
6 : ...... 14 . 16 . 17 . 18 . 19 . 23 ......... 107
7 : .... 20 . 22 . 24 . 25 . 26 . 27 . 29 ...... 173
8 : .. 28 . 30 . 31 . 32 . 33 . 34 . 35 . 40 ... 263.

Crossrefs

Sequence in context: A266406 A275152 A370794 * A376147 A269856 A146941

Adjacent sequences: A162368 A162369 A162370 * A162372 A162373 A162374

Keyword

nonn,tabl

Author

Reinhard Zumkeller, Jul 02 2009

Status

approved