A380248 The order of the 13 cards of one suit such that after the SpellUnder-Down deal the cards are in order; a(n) is the n-th card in the deck.

3, 8, 7, 1, 12, 6, 4, 2, 11, 13, 10, 9, 5

Offset: 1

Author

Tanya Khovanova and the MIT PRIMES STEP junior group, Jan 17 2025

Keywords

• nonn
• fini
• full
• word

Comments

Number 1 corresponds to ace, 11 to jack, 12 to queen, 13 to king.

In the SpellUnder-Down deal, we spell the next card, putting a card under for each letter in the name, then we deal the next card. So we start with putting 3 cards under for A-C-E, then deal, then 3 cards under for T-W-O, then deal, then 5 cards under for T-H-R-E-E, then deal. The dealing sequence is highly irregular because it depends on English spelling. The dealing pattern starts: UUUDUUUDUUUUUD.

The sequence is a permutation of 13 numbers.

Examples

			The first card dealt is the fourth card in the deck, thus, the fourth card must be an ace.
		

Crossrefs

Cf. A005589, A006257, A225381, A321298, A378635, A380201, A380202, A380204, A380246, A380247.